- Noguchi, Kimihiro; Lukken, Cayden; et al. (2026) Asymptotic
optimality of the Wilson-Hilferty cube-root transformation on the gamma
distribution for higher-order odd central moments; Statistics &
Probability Letters; Vol. 233; 110680; 10.1016/j.spl.2026.110680
- Boateng, Luisa and Marcolli, Matilde (2026) Formal
languages and TQFTs with defects; Journal of Geometry and Physics;
Vol. 222; 105771; 10.1016/j.geomphys.2026.105771
- Conlon, David; Fox, Jacob; et al. (2026) Big line
or big convex polygon; Computational Geometry; Vol. 131; 102218; 10.1016/j.comgeo.2025.102218
- Arant, Tyler; Kechris, Alexander S.; et al. (2026) Borel
graphable equivalence relations; Advances in Mathematics; Vol. 487;
110765; 10.1016/j.aim.2025.110765
- Conlon, David and Führer, Jakob (2026) Non-spherical
sets versus lines in Euclidean Ramsey theory; Canadian Mathematical
Bulletin; Vol. 69; No. 1; 179-183; 10.4153/s0008439525101082
- Frank, Rupert L.; Larson, Simon; et al. (2026) Improved
semiclassical eigenvalue estimates for the Laplacian and the Landau
Hamiltonian; Journal of Spectral Theory; Vol. 16; No. 1; 243-270; 10.4171/jst/589
- Gukov, Sergei; Haghighat, Babak; et al. (2026) Irregular
KZ equations and Kac–Moody representations; Journal of Physics A:
Mathematical and Theoretical; Vol. 59; No. 5; 055202; 10.1088/1751-8121/ae35ec
- Adams, Griffen; Costin, Ovidiu; et al. (2026) c_(eff)
from resurgence at the Stokes line; Journal of High Energy Physics;
Vol. 2026; No. 2; 75; 10.1007/jhep02(2026)075
- Phan, Long; Gatti, Alice; et al. (2026) A
benchmark of expert-level academic questions to assess AI
capabilities; Nature; Vol. 649; No. 8099; 1139-1146; PMCID
PMC12851929; 10.1038/s41586-025-09962-4
- Looi, Shi-Zhuo and Tohaneanu, Mihai (2026) Global
existence and pointwise decay for nonlinear waves under the null
condition; Dynamics of Partial Differential Equations; Vol. 23;
No. 3; 225-268; 10.4310/dpde.260103064042
- Polishchuk, Alexander and Rains, Eric (2026) Exceptional
Pairs On Del Pezzo Surfaces And Spaces Of Compatible Feigin-Odesskii
Brackets; Journal of the Institute of Mathematics of Jussieu; Vol.
25; No. 1; 339-373; 10.1017/s1474748025101333
- Frank, R. L.; Mateu, J.; et al. (2026) Explicit
minimisers for anisotropic Riesz energies; Calculus of Variations
and Partial Differential Equations; Vol. 65; No. 1; 34; 10.1007/s00526-025-03185-1
- Conlon, David; Fox, Jacob; et al. (2025) A
question of Erdős and Graham on Egyptian fractions; Discrete
Analysis; Vol. 2025; 28; 10.19086/da.154329
- Pham, Huy Tuan and Zakharov, Dmitrii (2025) Sharp
Bound for the Erdős–Straus Non-averaging Set Problem; Geometric and
Functional Analysis; Vol. 35; No. 6; 1712-1738; 10.1007/s00039-025-00728-8
- Balogh, József; Bernshteyn, Anton; et al. (2025) Sunflowers
in Set Systems with Small VC-Dimension; Combinatorica; Vol. 45;
No. 6; 58; 10.1007/s00493-025-00186-8
- Fox, Jacob; Nenadov, Rajko; et al. (2025) The
Largest Subgraph Without A Forbidden Induced Subgraph;
Combinatorica; Vol. 45; No. 6; 60; 10.1007/s00493-025-00190-y
- Jain, Vishesh; Pham, Huy Tuan; et al. (2025) An
explicit economical additive basis; Combinatorics, Probability and
Computing; Vol. 34; No. 6; 815-820; 10.1017/s096354832510014x
- Conlon, David and Lim, Jeck (2025) Everywhere
unbalanced configurations; Advances in Mathematics; Vol. 480;
110445; 10.1016/j.aim.2025.110445
- Conlon, David; Fox, Jacob; et al. (2025) When are
off-diagonal hypergraph Ramsey numbers polynomial?; Proceedings of
the American Mathematical Society; Vol. 153; No. 11; 4605-4617; 10.1090/proc/17321
- Fernandes, Francesca and Marcolli, Matilde (2025) Formal
languages, spin systems, and quasicrystals; Journal of Geometry and
Physics; Vol. 216; 105568; 10.1016/j.geomphys.2025.105568
- Janda, Felix and Yu, Tony Yue (2025) Gromov–Witten
Invariants with Naive Tangency Conditions; International Mathematics
Research Notices; Vol. 2025; No. 20; rnaf310; 10.1093/imrn/rnaf310
- Conlon, David and Lim, Jeck (2025) Sums of
linear transformations; Transactions of the American Mathematical
Society; Vol. 378; No. 10; 7009-7032; 10.1090/tran/9433
- Berestycki, Nathanaël; Hutchcroft, Tom; et al. (2025) Thick
points of 4D critical branching Brownian motion; Proceedings of the
London Mathematical Society; Vol. 131; No. 3; e70086; 10.1112/plms.70086
- Isett, Philip (2025) Regularity
of Trajectories and Smooth Observables in Rough Euler Flows; ISBN
978-3-031-91284-9; Partial Differential Equations: Waves, Nonlinearities
and Nonlocalities; Springer Nature Switzerland: Cham; Abel Symposia;
Vol. 18; 185-204; 10.1007/978-3-031-91282-5_9
- Kusuki, Yuya; Ooguri, Hirosi; et al. (2025) Universality
of Rényi Entropy in Conformal Field Theory; Physical Review Letters;
Vol. 135; No. 6; 061603; 10.1103/fsg7-bs7q
- Frank, Rupert L. and Larson, Simon (2025) Riesz
means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz
domains; Inventiones mathematicae; 10.1007/s00222-025-01352-x
- P. Albion, Seamus; Rains, Eric M.; et al. (2025) Elliptic
A_n Selberg Integrals; Constructive Approximation; Vol. 62; No. 1;
151-184; 10.1007/s00365-025-09705-8
- Sandomirskiy, Fedor and Tamuz, Omer (2025) On the
origin of the Boltzmann distribution; Mathematische Annalen; Vol.
392; No. 4; 5617-5638; 10.1007/s00208-025-03263-x
- Adams, Griffen; Costin, Ovidiu; et al. (2025) Orientation
reversal and the Chern-Simons natural boundary; Journal of High
Energy Physics; Vol. 2025; No. 8; 154; 10.1007/jhep08(2025)154
- Karch, Andreas; Ooguri, Hirosi; et al. (2025) Nonrenormalization
theorem for N = (4, 4) interface entropy; Journal of High Energy
Physics; Vol. 2025; No. 7; 109; 10.1007/jhep07(2025)109
- Pham, Huy Tuan (2025) A Sharp
Version of Talagrand’s Selector Process Conjecture and an Application to
Rounding Fractional Covers; Proceedings of the 57th Annual ACM
Symposium on Theory of Computing; 322-328; 10.1145/3717823.3718256
- Song, Antoine (2025) Entropy
and Stability of Hyperbolic Manifolds; Geometric and Functional
Analysis; Vol. 35; No. 6; 877-914; 10.1007/s00039-025-00711-3
- Aluffi, Paolo; Chen, Stephanie; et al. (2025) Log
concavity of the Grothendieck class of M₀,n; Journal of Algebraic
Combinatorics; Vol. 61; No. 4; 47; 10.1007/s10801-025-01428-0
- Conlon, David; Fox, Jacob; et al. (2025) On
Off-Diagonal Hypergraph Ramsey Numbers; International Mathematics
Research Notices; Vol. 2025; No. 11; rnaf122; 10.1093/imrn/rnaf122
- Gukov, Sergei; Halverson, James; et al. (2025) Searching
for ribbons with machine learning; Machine Learning: Science and
Technology; Vol. 6; No. 2; 025065; 10.1088/2632-2153/ade362
- Nenadov, Rajko and Pham, Huy Tuan (2025) Short
proof of the hypergraph container theorem; Combinatorics,
Probability and Computing; Vol. 34; No. 5; 621-624; 10.1017/s0963548325000112
- Frank, Rupert L. (2025) Minimizing
Schrödinger eigenvalues for confining potentials; Advanced Nonlinear
Studies; ans-2023-0169; 10.1515/ans-2023-0169
- Aschbacher, Michael (2025) Intrinsic
components in involution centralizers of fusion systems; Pacific
Journal of Mathematics; Vol. 336; No. 1-2; 7-27; 10.2140/pjm.2025.336.7
- Frank, Rupert L. and Matzke, Ryan W. (2025) Minimizers
for an Aggregation Model with Attractive–Repulsive Interaction;
Archive for Rational Mechanics and Analysis; Vol. 249; No. 2; 15; 10.1007/s00205-025-02084-1
- Frank, Rupert L.; Jin, Tianling; et al. (2025) On the
sharp constants in the regional fractional Sobolev inequalities;
Partial Differential Equations and Applications; Vol. 6; No. 2; 15; 10.1007/s42985-025-00317-2
- Martin, James B.; Sly, Allan; et al. (2025) Convergence
of the environment seen from geodesics in exponential last-passage
percolation; Journal of the European Mathematical Society; Vol. 27;
No. 3; 877–970; 10.4171/jems/1594
- Hutchcroft, Tom (2025) Critical
cluster volumes in hierarchical percolation; Proceedings of the
London Mathematical Society; Vol. 130; No. 1; e70023; 10.1112/plms.70023
- Dong, Conghan and Song, Antoine (2025) Stability
of Euclidean 3-space for the positive mass theorem; Inventiones
mathematicae; Vol. 239; 287–319; 10.1007/s00222-024-01302-z
- Ooguri, Hirosi and Wang, Yifan (2024) Universal
bounds on CFT Distance Conjecture; Journal of High Energy Physics;
Vol. 2024; No. 12; 154; 10.1007/jhep12(2024)154
- Frank, Rupert L. (2024) The Sharp
Sobolev Inequality and Its Stability: An Introduction; ISBN
978-3-031-67600-0; Geometric and Analytic Aspects of Functional
Variational Principles; 1-64; 10.1007/978-3-031-67601-7_1
- Baldwin, John A.; Ni, Yi; et al. (2024) Floer
homology and right-veering monodromy; Journal für die reine und
angewandte Mathematik (Crelles Journal); Vol. 2025; No. 818; 263-290; 10.1515/crelle-2024-0079
- Kapustin, Anton (2024) Topological
Phases of Matter and Homotopy Theory; ISBN 978-0-323-95706-9;
Encyclopedia of Mathematical Physics; Elsevier: Amsterdam; Encyclopedia
of Mathematical Physics; Vol. 1; 106-110; 10.1016/b978-0-323-95703-8.00048-3
- Kapustin, Anton (2024) Soluble
Model of a Nonequilibrium Steady State: The Van Kampen Objection and
Other Lessons; Physical Review Letters; Vol. 133; No. 14; 147101; 10.1103/physrevlett.133.147101
- Duong, Giao Ky; Frank, Rupert L.; et al. (2024) Cwikel–Lieb–Rozenblum
type inequalities for Hardy–Schrödinger operator; Journal de
Mathématiques Pures et Appliquées; Vol. 190; 103598; 10.1016/j.matpur.2024.103598
- Manin, Yuri I. and Marcolli, Matilde (2024) Homotopy
Theoretic and Categorical Models of Neural Information Networks;
Compositionality; Vol. 6; No. 4; 14135; 10.46298/compositionality-6-4
- Karch, Andreas; Kusuki, Yuya; et al. (2024) Universal
Bound on Effective Central Charge and Its Saturation; Physical
Review Letters; Vol. 133; No. 9; 91604; 10.1103/physrevlett.133.091604
- Gukov, Sergei and Seong, Rak-Kyeong (2024) Machine
learning BPS spectra and the gap conjecture; Physical Review D; Vol.
110; No. 4; 046016; 10.1103/physrevd.110.046016
- Frank, Rupert L.; Sukochev, Fedor; et al. (2024) Endpoint
Schatten class properties of commutators; Advances in Mathematics;
Vol. 450; 109738; 10.1016/j.aim.2024.109738
- Frank, Rupert L.; Hoffmann-Ostenhof, Thomas; et al. (2024) Hardy
inequalities for large fermionic systems; Journal of Spectral
Theory; Vol. 14; No. 2; 805-835; 10.4171/jst/511
- Banks, Jess; Breuer, Jonathan; et al. (2024) A useful
formula for periodic Jacobi matrices on trees; Proceedings of the
National Academy of Sciences; Vol. 121; No. 23; e2315218121; 10.1073/pnas.2315218121
- Conlon, David; Fox, Jacob; et al. (2024) Set-Coloring
Ramsey Numbers and Error-Correcting Codes Near the Zero-Rate
Threshold; IEEE Transactions on Information Theory; Vol. 70; No. 6;
4074-4078; 10.1109/tit.2023.3327846
- Park, Jinyoung and Pham, Huy Tuan (2024) On a
conjecture of Talagrand on selector processes and a consequence on
positive empirical processes; Annals of Mathematics; Vol. 199;
No. 3; 10.4007/annals.2024.199.3.6
- Gukov, Sergei; Halverson, James; et al. (2024) Rigor
with machine learning from field theory to the Poincaré conjecture;
Nature Reviews Physics; 10.1038/s42254-024-00709-0
- Cook, Nicholas A.; Dembo, Amir; et al. (2024) Regularity
method and large deviation principles for the Erdős–Rényi
hypergraph; Duke Mathematical Journal; Vol. 173; No. 5; 10.1215/00127094-2023-0029
- Marcolli, Matilde and Panangaden, Jane (2024) Quantum
statistical mechanics and the boundary of modular curves; Journal of
Mathematical Physics; Vol. 65; No. 4; 042104; 10.1063/5.0179805
- Gherman, M. and Merkurjev, A. (2024) Krull
dimension of the negligible quotient in mod p cohomology of a finite
group; Journal of Pure and Applied Algebra; Vol. 228; No. 3; 107489;
10.1016/j.jpaa.2023.107489
- Benjamin, Nathan; Lee, Jaeha; et al. (2024) Universal
asymptotics for high energy CFT data; Journal of High Energy
Physics; Vol. 2024; No. 3; 115; 10.1007/jhep03(2024)115
- Frank, Rupert; Laptev, Ari; et al. (2024) Weighted
CLR type bounds in two dimensions; Transactions of the American
Mathematical Society; Vol. 377; No. 5; 3357-3371; 10.1090/tran/9124
- Fox, Jacob; Luo, Sammy; et al. (2024) Small
subsets with large sumset: Beyond the Cauchy–Davenport bound;
Combinatorics, Probability and Computing; Vol. 33; No. 4; 411-431; 10.1017/s0963548324000014
- Easo, Philip; Hutchcroft, Tom; et al. (2024) Double-exponential
susceptibility growth in Dyson’s hierarchical model with |x − y|⁻²
interaction; Journal of Mathematical Physics; Vol. 65; No. 2;
023301; 10.1063/5.0147340
- Jain, Vishesh and Pham, Huy Tuan (2024) Optimal
thresholds for Latin squares, Steiner Triple Systems, and edge
colorings; Proceedings of the 2024 Annual ACM-SIAM Symposium on
Discrete Algorithms (SODA); 1425-1436; 10.1137/1.9781611977912.57
- Anari, Nima; Jain, Vishesh; et al. (2024) Universality
of Spectral Independence with Applications to Fast Mixing in Spin
Glasses; Proceedings of the 2024 Annual ACM-SIAM Symposium on
Discrete Algorithms (SODA); 5029-5056; 10.1137/1.9781611977912.181
- Conlon, David; Fox, Jacob; et al. (2024) On the
clique number of random Cayley graphs and related topics; 10.48550/arxiv.2412.21194
- Huang, Brice; Montanari, Andrea; et al. (2024) Sampling
from Spherical Spin Glasses in Total Variation via Algorithmic
Stochastic Localization; 10.48550/arxiv.2404.15651
- Pham, Huy Tuan and Zakharov, Dmitrii (2024) Sharp
bound for the Erdős-Straus non-averaging set problem; 10.48550/arxiv.2410.14624
- Nenadov, Rajko and Pham, Huy Tuan (2024) Spread
blow-up lemma with an application to perturbed random graphs; 10.48550/arxiv.2410.06132
- Balogh, József; Bernshteyn, Anton; et al. (2024) Sunflowers
in set systems with small VC-dimension; 10.48550/arxiv.2408.04165
- Fox, Jacob; Nenadov, Rajko; et al. (2024) The
largest subgraph without a forbidden induced subgraph; 10.48550/arxiv.2405.05902
- Fox, Jacob; Luo, Sammy; et al. (2023) On random
irregular subgraphs; Random Structures & Algorithms; Vol. 64;
No. 4; 899-917; 10.1002/rsa.21204
- Jain, Vishesh; Michelen, Marcus; et al. (2023) Optimal
mixing of the down-up walk on independent sets of a given size; 2023
IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);
1665-1681; 10.1109/focs57990.2023.00101
- Kusuki, Yuya; Murciano, Sara; et al. (2023) Symmetry-resolved
entanglement entropy, spectra & boundary conformal field theory;
Journal of High Energy Physics; Vol. 2023; No. 11; 216; 10.1007/jhep11(2023)216
- Karch, Andreas; Kusuki, Yuya; et al. (2023) Universality
of effective central charge in interface CFTs; Journal of High
Energy Physics; Vol. 2023; No. 11; 126; 10.1007/jhep11(2023)126
- Nguyen, Phan-Minh and Pham, Huy Tuan (2023) A
rigorous framework for the mean field limit of multilayer neural
networks; Mathematical Statistics and Learning; Vol. 6; No. 3;
201-357; 10.4171/msl/42
- Isett, Philip (2023) Regularity
in time along the coarse scale flow for the incompressible Euler
equations; Transactions of the American Mathematical Society; Vol.
376; No. 10; 6927-6987; 10.1090/tran/8899
- Conlon, David and Lim, Jeck (2023) Sums
of transcendental dilates; Bulletin of the London Mathematical
Society; 10.1112/blms.12870
- Aschbacher, Michael (2023) Fusion
systems with 2-small components; Transactions of the American
Mathematical Society; 10.1090/tran/8797
- Conlon, David; Nenadov, Rajko; et al. (2023) On
the size-Ramsey number of grids; Combinatorics, Probability and
Computing; 10.1017/s0963548323000147
- Park, Jinyoung and Pham, Huy (2023) A proof
of the Kahn–Kalai conjecture; Journal of the American Mathematical
Society; Vol. 37; No. 1; 235-243; 10.1090/jams/1028
- Jain, Vishesh; Pham, Huy; et al. (2023) Dimension
reduction for maximum matchings and the Fastest Mixing Markov Chain;
Comptes Rendus. Mathématique; Vol. 361; No. G5; 869-876; 10.5802/crmath.447
- Frank, Rupert L. (2023) Some
minimization problems for mean field models with competing forces;
ISBN 978-3-98547-051-8; Eighth European Congress of Mathematics:
Portorož, 20-26 June 2021; European Mathematical Society: Berlin,
Germany; 277-294; 10.4171/8ECM/06
- Arieli, Itai; Babichenkoyako, Yakov; et al. (2023) The
Hazards and Benefits of Condescension in Social Learning; ISBN
9798400701047; EC ’23: Proceedings of the 24th ACM Conference on
Economics and Computation; ACM: New York, NY; 119; 10.1145/3580507.3597752
- Collins, Tristan C.; Gukov, Sergei; et al. (2023) Special
Lagrangian Cycles and Calabi-Yau Transitions; Communications in
Mathematical Physics; 10.1007/s00220-023-04655-3
- Christiansen, Jacob S.; Simon, Barry; et al. (2023) Asymptotics
of Chebyshev polynomials, V. residual polynomials; Ramanujan
Journal; Vol. 61; No. 1; 251-278; 10.1007/s11139-021-00500-0
- Song, Antoine (2023) Existence
of infinitely many minimal hypersurfaces in closed manifolds; Annals
of Mathematics; Vol. 197; No. 3; 859-895; 10.4007/annals.2023.197.3.1
- Frank, Rupert L. (2023) Sharp
inequalities for coherent states and their optimizers; Advanced
Nonlinear Studies; Vol. 23; Art. No. 20220050; 10.1515/ans-2022-0050
- Hutchcroft, Tom and Sousi, Perla (2023) Logarithmic
Corrections to Scaling in the Four-dimensional Uniform Spanning
Tree; Communications in Mathematical Physics; 10.1007/s00220-023-04686-w
- Combe, Noémie; Manin, Yuri I.; et al. (2023) Moufang
patterns and geometry of information; Pure and Applied Mathematics
Quarterly; Vol. 19; No. 1; 149-189; 10.4310/pamq.2023.v19.n1.a7
- Kapustin, Anton and Mrini, Luke (2023) Universal
time-dependent Ginzburg-Landau theory; Physical Review B; Vol. 107;
No. 14; Art. No. 144514; 10.1103/physrevb.107.144514
- Vigneaux, Juan Pablo (2023) A
characterization of generalized multinomial coefficients related to the
entropic chain rule; Aequationes Mathematicae; Vol. 97; No. 2;
231-255; 10.1007/s00010-022-00938-7
- Costantino, Francesco; Gukov, Sergei; et al. (2023) Non-Semisimple
TQFT’s and BPS q-Series; Symmetry, Integrability and Geometry,
Methods and Applications (SIGMA); Vol. 19; Art. No. 10; 10.3842/sigma.2023.010
- Frank, Rupert; Sukochev, Fedor; et al. (2023) Asymptotics
of singular values for quantum derivatives; Transactions of the
American Mathematical Society; Vol. 376; No. 3; 2047-2088; 10.1090/tran/8827
- Ni, Yi and Zhang, Xingru (2023) Characterizing
slopes for torus knots, II; Journal of Knot Theory and its
Ramifications; Vol. 32; No. 3; Art. No. 2350023; 10.1142/s0218216523500232
- Hutchcroft, Tom; Michta, Emmanuel; et al. (2023) High-dimensional
near-critical percolation and the torus plateau; Annals of
Probability; Vol. 51; No. 2; 580-625; 10.1214/22-aop1608
- Conlon, David; Fox, Jacob; et al. (2023) Off-diagonal
book Ramsey numbers; Combinatorics, Probability and Computing; Vol.
32; No. 3; 516-545; 10.1017/s0963548322000360
- Acharya, Rajeev; Aleiner, Igor; et al. (2023) Suppressing
quantum errors by scaling a surface code logical qubit; Nature; Vol.
614; No. 7949; 676-681; PMCID PMC9946823; 10.1038/s41586-022-05434-1
- Hutchcroft, Tom; Kent, Alexander; et al. (2023) The
bunkbed conjecture holds in the p ↑ 1 limit; Combinatorics,
Probability and Computing; 1-7; 10.1017/s096354832200027x
- Ni, Yi (2023) The
next-to-top term in knot Floer homology; Quantum Topology; Vol. 13;
No. 3; 579-591; 10.4171/qt/174
- Hutchcroft, Tom (2023) Transience
and anchored isoperimetric dimension of supercritical percolation
clusters; Electronic Journal of Probability; Vol. 28; 1-15; 10.1214/23-ejp905
- Frank, Rupert L.; Merz, Konstantin; et al. (2023) The
Scott conjecture for large Coulomb systems: a review; Letters in
Mathematical Physics; Vol. 113; Art. No. 11; 10.1007/s11005-023-01631-9
- Kang, Monica Jinwoo; Lee, Jaeha; et al. (2023) Universal
formula for the density of states with continuous symmetry; Physical
Review D; Vol. 107; No. 2; 026021; 10.1103/physrevd.107.026021
- Gukov, Sergei; Lee, Vincent S. H.; et al. (2023) Near-horizon
quantum dynamics of 4D Einstein gravity from 2D Jackiw-Teitelboim
gravity; Physical Review D; Vol. 107; No. 1; Art. No. 016004; 10.1103/physrevd.107.016004
- Conlon, David; Gishboliner, Lior; et al. (2023) A
new bound for the Brown-Erdős-Sós problem; Journal of Combinatorial
Theory. Series B; Vol. 158; No. 2; 1-35; 10.1016/j.jctb.2022.08.005
- Conlon, David; Fox, Jacob; et al. (2023) Threshold
Ramsey multiplicity for paths and even cycles; European Journal of
Combinatorics; Vol. 107; Art. No. 103612; 10.1016/j.ejc.2022.103612
- Conlon, David; Fox, Jacob; et al. (2023) Homogeneous
structures in subset sums and non-averaging sets; 10.48550/arxiv.2311.01416
- Kapustin, Anton and Spodyneiko, Lev (2022) Hohenberg-Mermin-Wagner-type
theorems and dipole symmetry; Physical Review B; Vol. 106; No. 24;
Art. No. 245125; 10.1103/physrevb.106.245125
- Morvan, A.; Andersen, T. I.; et al. (2022) Formation
of robust bound states of interacting microwave photons; Nature;
Vol. 612; No. 7939; 240-245; PMCID PMC9729104; 10.1038/s41586-022-05348-y
- Gherman, Matthew and Merkurjev, Alexander (2022) Negligible
degree two cohomology of finite groups; Journal of Algebra; Vol.
611; 82-93; 10.1016/j.jalgebra.2022.07.039
- Frisch, Joshua R.; Kechris, Alexander S.; et al. (2022) Lifts
of Borel actions on quotient spaces; Israel Journal of Mathematics;
Vol. 251; No. 2; 379-421; 10.1007/s11856-022-2434-z
- Mi, X.; Sonner, M.; et al. (2022) Noise-resilient
edge modes on a chain of superconducting qubits; Science; Vol. 378;
No. 6621; 785-790; 10.1126/science.abq5769
- Hutchcroft, Tom (2022) Sharp
hierarchical upper bounds on the critical two-point function for
long-range percolation on ℤᵈ; Journal of Mathematical Physics; Vol.
63; No. 11; Art. No. 113301; 10.1063/5.0088450
- Frank, Rupert L. and Larson, Simon (2022) An
inequality for the normal derivative of the Lane-Emden ground state;
Advances in Calculus of Variations; 10.1515/acv-2022-0005
- Ni, Yi (2022) A
Note on Knot Floer Homology and Fixed Points of Monodromy; Peking
Mathematical Journal; 10.1007/s42543-022-00051-3
- Aschbacher, Michael (2022) Fusion
systems with U₃(3) J-components; Journal of Algebra; Vol. 607;
34-63; 10.1016/j.jalgebra.2021.06.006
- Park, Jinyoung and Pham, Huy Tuan (2022) A Proof
of the Kahn-Kalai Conjecture; 2022 IEEE 63rd Annual Symposium on
Foundations of Computer Science (FOCS); 636-639; 10.1109/focs54457.2022.00066
- Hutchcroft, Tom (2022) On
the Derivation of Mean-Field Percolation Critical Exponents from the
Triangle Condition; Journal of Statistical Physics; Vol. 189; No. 1;
Art. No. 6; 10.1007/s10955-022-02967-7
- Hutchcroft, Tom (2022) Slightly
supercritical percolation on non-amenable graphs I: The distribution of
finite clusters; Proceedings of the London Mathematical Society;
Vol. 125; No. 4; 968-1013; 10.1112/plms.12474
- Ballinger, William; Ni, Yi; et al. (2022) The
prism manifold realization problem III; Proceedings of the London
Mathematical Society; Vol. 125; No. 4; 841-878; 10.1112/plms.12472
- Conlon, David; Fox, Jacob; et al. (2022) The
upper logarithmic density of monochromatic subset sums; Mathematika;
Vol. 68; No. 4; 1292-1301; 10.1112/mtk.12167
- Fox, Jacob; Pham, Huy Tuan; et al. (2022) Tower-type
bounds for Roth’s theorem with popular differences; Journal of the
European Mathematical Society; Vol. 25; No. 10; 3795-3831; 10.4171/jems/1271
- Feng, Tony; Landesman, Aaron; et al. (2022) The
geometric distribution of Selmer groups of elliptic curves over function
fields; Mathematische Annalen; 10.1007/s00208-022-02429-1
- He, Jimmy; Tuan Pham, Huy; et al. (2022) Universality
for Low-Degree Factors of Random Polynomials over Finite Fields;
International Mathematics Research Notices; Vol. 2023; No. 17;
14752-14794; 10.1093/imrn/rnac239
- Kapustin, Anton and Sopenko, Nikita (2022) Local
Noether theorem for quantum lattice systems and topological invariants
of gapped states; Journal of Mathematical Physics; Vol. 63; No. 9;
Art. No. 091903; 10.1063/5.0085964
- Guicardi, Pedro and Marcolli, Matilde (2022) Fractality
in cosmic topology models with spectral action gravity; Classical
and Quantum Gravity; Vol. 39; No. 16; Art. No. 165007; 10.1088/1361-6382/ac7d8c
- Ekholm, Tobias; Gruen, Angus; et al. (2022) Ẑ
at Large N: From Curve Counts to Quantum Modularity; Communications
in Mathematical Physics; 10.1007/s00220-022-04469-9
- Jain, Vishesh; Pham, Huy Tuan; et al. (2022) Spectral
independence, coupling, and the spectral gap of the Glauber
dynamics; Information Processing Letters; Vol. 177; 106268; 10.1016/j.ipl.2022.106268
- Conlon, David; Fox, Jacob; et al. (2022) Threshold
Ramsey multiplicity for odd cycles; Revista de la Unión Matemática
Argentina; Vol. 64; No. 1; 49-68; 10.33044/revuma.2874
- Etingof, P.; Kalinov, D.; et al. (2022) New
realizations of deformed double current algebras and Deligne
categories; Transformation Groups; 10.1007/s00031-022-09717-9
- Conlon, David and Tyomkyn, Mykhaylo (2022) Ramsey
numbers of trails and circuits; Journal of Graph Theory; 10.1002/jgt.22865
- Conlon, David; Nenadov, Rajko; et al. (2022) The
size‐Ramsey number of cubic graphs; Bulletin of the London
Mathematical Society; 10.1112/blms.12682
- Huang, Wanying; Strack, Philipp; et al. (2022) Learning
in Repeated Interactions on Networks; ISBN 978-1-4503-9150-4;
Proceedings of the 23rd ACM Conference on Economics and Computation;
Association for Computing Machinery: New York, NY; 325; 10.1145/3490486.3538307
- Mu, Xiaosheng; Pomatto, Luciano; et al. (2022) Monotone
Additive Statistics; ISBN 978-1-4503-9150-4; Proceedings of the 23rd
ACM Conference on Economics and Computation; Association for Computing
Machinery: New York, NY; 34; 10.1145/3490486.3538318
- He, Kevin; Sandomirskiy, Fedor; et al. (2022) Private
Private Information; ISBN 978-1-4503-9150-4; Proceedings of the 23rd
ACM Conference on Economics and Computation; Association for Computing
Machinery: New York, NY; 1145; 10.1145/3490486.3538348
- Harlow, Daniel and Ooguri, Hirosi (2022) A
universal formula for the density of states in theories with
finite-group symmetry; Classical and Quantum Gravity; Vol. 39;
No. 13; Art. No. 134003; 10.1088/1361-6382/ac5db2
- Ekholm, Tobias; Gruen, Angus; et al. (2022) Branches,
quivers, and ideals for knot complements; Journal of Geometry and
Physics; Vol. 177; Art. No. 104520; 10.1016/j.geomphys.2022.104520
- Conlon, David (2022) Some
remarks on the Zarankiewicz problem; Mathematical Proceedings of the
Cambridge Philosophical Society; Vol. 173; No. 1; 155-161; 10.1017/S0305004121000475
- Anari, Nima; Jain, Vishesh; et al. (2022) Entropic
independence: optimal mixing of down-up random walks; Proceedings of
the 54th Annual ACM SIGACT Symposium on Theory of Computing; 1418-1430;
10.1145/3519935.3520048
- Frank, Rupert L. (2022) Degenerate
stability of some Sobolev inequalities; Analyse Nonlineaire, Annales
Institute H. Poincaré; Vol. 39; No. 6; 1459-1484; 10.4171/aihpc/35
- Gukov, Sergei; Lee, Vincent S. H.; et al. (2022) Near-Horizon
Quantum Dynamics of 4-d Einstein Gravity from 2-d JT Gravity; 10.48550/arXiv.2205.02233
- Li, Wanlin; Mantovan, Elena; et al. (2022) Newton
Polygon Stratification of the Torelli Locus in Unitary Shimura
Varieties; International Mathematics Research Notices; Vol. 2022;
No. 9; 6464-6511; 10.1093/imrn/rnaa306
- Frank, Rupert L. and Loss, Michael (2022) Which
magnetic fields support a zero mode?; Journal für die reine und
angewandte Mathematik; 10.1515/crelle-2022-0015
- Kapustin, Anton and Radzihovsky, Leo (2022) Piezosuperconductivity:
Novel effects in noncentrosymmetric superconductors; Physical Review
B; Vol. 105; No. 13; Art. No. 134514; 10.1103/physrevb.105.134514
- Carrillo, J. A.; Delgadino, M. G.; et al. (2022) Fast
Diffusion leads to partial mass concentration in Keller–Segel type
stationary solutions; Mathematical Models and Methods in Applied
Sciences; Vol. 32; No. 4; 831-850; 10.1142/S021820252250018X
- Combe, Noémie; Manin, Yuri I.; et al. (2022) Geometry
of information: Classical and quantum aspects; Theoretical Computer
Science; Vol. 908; 2-27; 10.1016/j.tcs.2021.10.020
- Heydeman, Matthew; Marcolli, Matilde; et al. (2022) Nonarchimedean
holographic entropy from networks of perfect tensors; Advances in
Theoretical and Mathematical Physics; Vol. 25; No. 3; 591-721; 10.4310/ATMP.2021.v25.n3.a2
- Conlon, David; Fox, Jacob; et al. (2022) Ramsey
Numbers of Books and Quasirandomness; Combinatorica; 10.1007/s00493-021-4409-9
- Borichev, Alexander; Frank, Rupert L.; et al. (2022) Counting
eigenvalues of Schrödinger operators with fast decaying complex
potentials; Advances in Mathematics; Vol. 397; Art. No. 108115; 10.1016/j.aim.2021.108115
- Gu, Yingfei; Kitaev, Alexei; et al. (2022) A
two-way approach to out-of-time-order correlators; Journal of High
Energy Physics; Vol. 2022; No. 3; Art. No. 133; 10.1007/jhep03(2022)133
- Frank, Rupert L. (2022) Minimizers
for a one-dimensional interaction energy; Nonlinear Analysis; Vol.
216; Art. No. 112691; 10.1016/j.na.2021.112691
- Simon, Barry (2022) The
strong Gauss–Lucas theorem and analyticity of correlation functions via
the Lee–Yang theorem; Journal of Mathematical Physics; Vol. 63;
No. 3; Art. No. 033302; 10.1063/5.0077229
- Port, Alexander; Karidi, Taelin; et al. (2022) Topological
Analysis of Syntactic Structures; Mathematics in Computer Science;
Vol. 16; No. 1; Art. No. 2; 10.1007/s11786-021-00520-5
- Halberstam, Noah and Hutchcroft, Tom (2022) What
are the limits of universality?; Proceedings of the Royal Society A:
Mathematical, Physical and Engineering Sciences; Vol. 478; No. 2259;
Art. No. 20210857; 10.1098/rspa.2021.0857
- Simon, Barry and van Enter, Aernout (2022) Lattice
Systems; ISBN 9781118445112; Wiley StatsRef: Statistics Reference
Online; Wiley: New York, NY; 1-8; 10.1002/9781118445112.stat00085.pub2
- Song, Antoine (2022) The
spherical Plateau problem for group homology; 10.48550/arXiv.2202.10636
- Frank, Rupert L.; König, Tobias; et al. (2022) Reverse
conformally invariant Sobolev inequalities on the sphere; Journal of
Functional Analysis; Vol. 282; No. 4; Art. No. 109339; 10.1016/j.jfa.2021.109339
- Benjamin, Nathan; Keller, Christoph A.; et al. (2022) Narain
to Narnia; Communications in Mathematical Physics; Vol. 390; No. 1;
425-470; 10.1007/s00220-021-04211-x
- Jain, Vishesh; Pham, Huy Tuan; et al. (2022) Towards
the sampling Lovász Local Lemma; 2021 IEEE 62nd Annual Symposium on
Foundations of Computer Science (FOCS); 173-183; 10.1109/focs52979.2021.00025
- Simon, Barry (2022) Twelve
tales in mathematical physics: An expanded Heineman prize lecture;
Journal of Mathematical Physics; Vol. 63; No. 2; Art. No. 021101; 10.1063/5.0056008
- Halberstam, Noah and Hutchcroft, Tom (2022) Collisions
of random walks in dynamic random environments; Electronic Journal
of Probability; Vol. 27; Art. No. 8; 10.1214/21-EJP738
- Kapustin, Anton and Radzihovsky, Leo (2022) Piezo-superconductivity:
new effects in non-centrosymmetric superconductors; 10.48550/arXiv.2201.06583
- Ballinger, William; Ni, Yi; et al. (2022) The
prism manifold realization problem II; Communications in Analysis
and Geometry; Vol. 29; No. 6; 1279-1334; 10.4310/CAG.2021.v29.n6.a1
- Dolbeault, Jean; Frank, Rupert L.; et al. (2022) Logarithmic
estimates for mean-field models in dimension two and the
Schrödinger–Poisson system; Comptes Rendus Mathématique; Vol. 359;
No. 10; 1279-1293; 10.5802/crmath.272
- He, Jimmy; Pham, Huy Tuan; et al. (2022) Mixing
time of fractional random walk on finite fields; Electronic Journal
of Probability; Vol. 27; No. none; 10.1214/22-ejp858
- Chipeniuk, Karsten O.; Katz, Nets Hawk; et al. (2022) Households,
auctioneers, and aggregation; European Economic Review; Vol. 141;
Art. No. 103997; 10.1016/j.euroecorev.2021.103997
- Conlon, David (2022) Monochromatic
combinatorial lines of length three; Proceedings of the American
Mathematical Society; Vol. 150; No. 1; 1-4; 10.1090/proc/15739
- Kechris, Alexander S.; Malicki, Maciej; et al. (2022) On
Polish groups admitting non-essentially countable actions; Ergodic
Theory and Dynamical Systems; Vol. 42; No. 1; 180-194; 10.1017/etds.2020.133
- Aschbacher, Michael (2022) Fusion
systems with J-components over F-_(2^e) with e > 1; Journal of
Group Theory; 10.1515/jgth-2020-0156
- Conlon, David; Fox, Jacob; et al. (2022) Which
graphs can be counted in C₄-free graphs?; Pure and Applied
Mathematics Quarterly; Vol. 18; No. 6; 2413-2432; 10.4310/pamq.2022.v18.n6.a4
- Mi, Xiao; Roushan, Pedram; et al. (2021) Information
scrambling in quantum circuits; Science; Vol. 374; No. 6574;
1479-1483; 10.1126/science.abg5029
- Galeotti, Andrea; Golub, Benjamin; et al. (2021) Taxes
and Market Power: A Principal Components Approach; 10.48550/arXiv.2112.08153
- Satzinger, K. J.; Liu, Y.-J; et al. (2021) Realizing
topologically ordered states on a quantum processor; Science; Vol.
374; No. 6572; 1237-1241; 10.1126/science.abi8378
- Ni, Yi (2021) A
Characterization of T_(2g+1,2) among Alternating Knots; Acta
Mathematica Sinica, English Series; Vol. 37; No. 12; 1841-1846; 10.1007/s10114-021-0408-4
- Albion, Seamus P.; Rains, Eric M.; et al. (2021) AFLT-type
Selberg integrals; Communications in Mathematical Physics; Vol. 388;
No. 2; 735-791; 10.1007/s00220-021-04157-0
- Gukov, Sergei; Park, Sunghyuk; et al. (2021) Cobordism
Invariants from BPS q-Series; Annales Henri Poincaré; Vol. 22;
No. 12; 4173-4203; 10.1007/s00023-021-01089-2
- Frank, Rupert L. and Nam, Phan Thành (2021) Existence
and nonexistence in the liquid drop model; Calculus of Variations
and Partial Differential Equations; Vol. 60; No. 6; Art. No. 223; 10.1007/s00526-021-02072-9
- Shu, Kevin; Ortegaray, Andrew; et al. (2021) Phylogenetics
of Indo-European Language Families via an Algebro-Geometric Analysis of
Their Syntactic Structures; Mathematics in Computer Science; Vol.
15; No. 4; 803-857; 10.1007/s11786-021-00507-2
- Conlon, David; Fox, Jacob; et al. (2021) The
regularity method for graphs with few 4-cycles; Journal of the
London Mathematical Society; Vol. 104; No. 5; 2376-2401; 10.1112/jlms.12500
- Gukov, Sergei; Pei, Du; et al. (2021) Symmetries
of 2d TQFTs and Equivariant Verlinde Formulae for General
Groups
- Lima, Alicia and Marcolli, Matilde (2021) Functor
of points and height functions for noncommutative Arakelov geometry;
Journal of Geometry and Physics; Vol. 169; Art. No. 104337; 10.1016/j.geomphys.2021.104337
- Hermon, Jonathan and Hutchcroft, Tom (2021) No
Percolation at Criticality on Certain Groups of Intermediate Growth;
International Mathematics Research Notices; Vol. 2021; No. 22;
17433-17455; 10.1093/imrn/rnz265
- Eischen, Ellen; Flander, Max; et al. (2021) Differential
operators mod p: analytic continuation and consequences; Algebra and
Number Theory; Vol. 15; No. 6; 1469-1504; 10.2140/ant.2021.15.1469
- Frank, Rupert L. and Ivanisvili, Paata (2021) Hypercontractivity
of the semigroup of the fractional Laplacian on the n-sphere;
Journal of Functional Analysis; Vol. 281; No. 8; Art. No. 109145; 10.1016/j.jfa.2021.109145
- Chase, Zachary; Hann-Caruthers, Wade; et al. (2021) Additive
conjugacy and the Bohr compactification of orthogonal
representations; Mathematische Annalen; Vol. 381; No. 1-2; 319-333;
10.1007/s00208-021-02191-w
- Gukov, Sergei; Hsin, Po-Shen; et al. (2021) Rozansky-Witten
geometry of Coulomb branches and logarithmic knot invariants;
Journal of Geometry and Physics; Vol. 168; Art. No. 104311; 10.1016/j.geomphys.2021.104311
- Conlon, David and Tyomkyn, Mykhaylo (2021) Repeated
Patterns in Proper Colorings; SIAM Journal on Discrete Mathematics;
Vol. 35; No. 3; 2249-2264; 10.1137/21M1414103
- Frank, Rupert L. and Lieb, Elliott H. (2021) Proof
of spherical flocking based on quantitative rearrangement
inequalities; Annali della Scuola Normale Superiore di Pisa. Classe
di Scienze. Serie V; Vol. 22; No. 3; 1241-1263; 10.2422/2036-2145.201909_007
- Conlon, David; Pohoata, Cosmin; et al. (2021) Random
Multilinear Maps and the Erdős Box Problem; Discrete Analysis; Vol.
2021; Art. No. 17; 10.19086/da.28336
- Nakamura, Akane and Rains, Eric (2021) Uniqueness
of Polarization for the Autonomous 4-dimensional Painlevé-type
Systems; International Mathematics Research Notices; Vol. 2021;
No. 18; 14204-14219; 10.1093/imrn/rnaa037
- Frank, Rupert L.; Gontier, David; et al. (2021) Optimizers
for the finite-rank Lieb-Thirring inequality; 10.48550/arXiv.2109.05984
- Arieli, Itai; Babichenko, Yakov; et al. (2021) Feasible
Joint Posterior Beliefs; Journal of Political Economy; Vol. 129;
No. 9; 2546-2594; 10.1086/714993
- Frank, Rupert L. and Larson, Simon (2021) Discrete
Schrödinger operators with decaying and oscillating potentials;
St. Petersburg Mathematical Journal; Vol. 35; No. 1; 233-244; 10.1090/spmj/1803
- Kapustin, Anton; Sopenko, Nikita; et al. (2021) A
classification of invertible phases of bosonic quantum lattice systems
in one dimension; Journal of Mathematical Physics; Vol. 62; No. 8;
Art. No. 081901; 10.1063/5.0055996
- Song, Antoine and Zhou, Xin (2021) Generic
scarring for minimal hypersurfaces along stable hypersurfaces;
Geometric and Functional Analysis; Vol. 31; No. 4; 948-980; 10.1007/s00039-021-00571-7
- Conlon, David; Janzer, Oliver; et al. (2021) More
on the extremal number of subdivisions; Combinatorica; Vol. 41;
No. 4; 465-494; 10.1007/s00493-020-4202-1
- Frank, Rupert L.; Hundertmark, Dirk; et al. (2021) The
Lieb-Thirring inequality revisited; Journal of the European
Mathematical Society; Vol. 23; No. 8; 2583-2600; 10.4171/jems/1062
- Hutchcroft, Tom; Michta, Emmanuel; et al. (2021) High-dimensional
near-critical percolation and the torus plateau; 10.48550/arXiv.2107.12971
- Frank, Rupert L. (2021) Degenerate
stability of some Sobolev inequalities; 10.48550/arXiv.2107.11608
- Eischen, E. and Mantovan, Elena (2021) Entire
Theta Operators at Unramified Primes; International Mathematics
Research Notices; 10.1093/imrn/rnab190
- Chen, Zijun; Satzinger, Kevin J.; et al. (2021) Exponential
suppression of bit or phase errors with cyclic error correction;
Nature; Vol. 595; No. 7867; 383-387; 10.1038/s41586-021-03588-y
- Kapustin, Anton and Spodyneiko, Lev (2021) Microscopic
formulas for thermoelectric transport coefficients in lattice
systems; Physical Review B; Vol. 104; No. 3; Art. No. 035150; 10.1103/PhysRevB.104.035150
- Combe, Noémie; Manin, Yuri I.; et al. (2021) Moufang
Patterns and Geometry of Information; 10.48550/arXiv.2107.07486
- Frank, Rupert L. and Loss, Michael (2021) Existence
of optimizers in a Sobolev inequality for vector fields; 10.48550/arXiv.2107.06450
- Marcolli, Matilde (2021) Topological
Model of Neural Information Networks; ISBN 9783030802080; Geometric
Science of Information; Springer: Cham; 623-633; 10.1007/978-3-030-80209-7_67
- Kapustin, Anton and Touraev, Marc (2021) Non-relativistic
geometry and the equivalence principle; Classical and Quantum
Gravity; Vol. 38; No. 13; Art. No. 135003; 10.1088/1361-6382/abfea5
- Guth, Larry; Katz, Nets Hawk; et al. (2021) On
the Discretized Sum-Product Problem; International Mathematics
Research Notices; Vol. 2021; No. 13; 9769-9785; 10.1093/imrn/rnz360
- Levin, Michael; Kapustin, Anton; et al. (2021) Nernst
and Ettingshausen effects in gapped quantum materials; Physical
Review B; Vol. 103; No. 23; Art. No. 235101; 10.1103/physrevb.103.235101
- Hutchcroft, Tom (2021) On
the derivation of mean-field percolation critical exponents from the
triangle condition; 10.48550/arXiv.2106.06400v2
- Conlon, David; Fox, Jacob; et al. (2021) Which
graphs can be counted in C₄-free graphs?
- Atiyah, Michael and Marcolli, Matilde (2021) Anyon
Networks from Geometric Models of Matter; Quarterly Journal of
Mathematics; Vol. 72; No. 1-2; 717-733; 10.1093/qmath/haab004
- Marcolli, Matilde and Penrose, Roger (2021) Gluing
Non-commutative Twistor Spaces; Quarterly Journal of Mathematics;
Vol. 72; No. 1-2; 417-454; 10.1093/qmath/haab024
- Gukov, Sergei; Halverson, James; et al. (2021) Learning
to unknot; Machine Learning: Science and Technology; Vol. 2; No. 2;
Art. No. 025035; 10.1088/2632-2153/abe91f
- Frank, Rupert L.; Gontier, David; et al. (2021) The
Nonlinear Schrödinger Equation for Orthonormal Functions II: Application
to Lieb–Thirring Inequalities; Communications in Mathematical
Physics; Vol. 384; No. 3; 1783-1828; 10.1007/s00220-021-04039-5
- Conlon, David (2021) Extremal
Numbers of Cycles Revisited; American Mathematical Monthly; Vol.
128; No. 5; 464-466; 10.1080/00029890.2021.1886845
- Bikhchandani, Sushil; Hirshleifer, David; et al. (2021) Information
Cascades and Social Learning; 10.48550/arXiv.2105.11044
- Sackel, Kevin; Song, Antoine; et al. (2021) On
certain quantifications of Gromov’s non-squeezing theorem; 10.48550/arXiv.2105.00586
- Gukov, Sergei; Pei, Du; et al. (2021) 4-manifolds
and topological modular forms; Journal of High Energy Physics; Vol.
2021; No. 5; Art. No. 84; 10.1007/JHEP05(2021)084
- Hermon, Jonathan and Hutchcroft, Tom (2021) Supercritical
percolation on nonamenable graphs: isoperimetry, analyticity, and
exponential decay of the cluster size distribution; Inventiones
Mathematicae; Vol. 224; No. 2; 445-486; 10.1007/s00222-020-01011-3
- Harlow, Daniel and Ooguri, Hirosi (2021) Symmetries
in Quantum Field Theory and Quantum Gravity; Communications in
Mathematical Physics; Vol. 383; No. 3; 1669-1804; 10.1007/s00220-021-04040-y
- Frank, Rupert L. and Larson, Simon (2021) On
the spectrum of the Kronig-Penney model in a constant electric
field; 10.48550/arXiv.2104.10256
- Gakkhar, Sitanshu and Marcolli, Matilde (2021) Syntactic
structures and the general Markov models; 10.48550/arXiv.2104.08462
- Hutchcroft, Tom and Tointon, Matthew (2021) Non-triviality
of the phase transition for percolation on finite transitive graphs;
10.48550/arXiv.2104.05607
- Frank, Rupert L.; König, Tobias; et al. (2021) Energy
asymptotics in the three-dimensional Brezis–Nirenberg problem;
Calculus of Variations and Partial Differential Equations; Vol. 60;
No. 2; Art. No. 58; 10.1007/s00526-021-01929-3
- Gukov, Sergei; Hsin, Po-Shen; et al. (2021) Generalized
global symmetries of T[M] theories. Part I; Journal of High Energy
Physics; Vol. 2021; No. 4; Art. No. 232; 10.1007/JHEP04(2021)232
- Carlen, Eric A.; Frank, Rupert L.; et al. (2021) Inequalities
for Lᵖ-Norms that Sharpen the Triangle Inequality and Complement
Hanner’s Inequality; Journal of Geometric Analysis; Vol. 31; No. 4;
4051-4073; 10.1007/s12220-020-00425-y
- Benjamini, Itai and Hutchcroft, Tom (2021) Large,
lengthy graphs look locally like lines; Bulletin of the Lindon
Mathematical Society; Vol. 53; No. 2; 482-492; 10.1112/blms.12436
- Benjamin, Nathan; Keller, Christoph A.; et al. (2021) On
rational points in CFT moduli spaces; Journal of High Energy
Physics; Vol. 2021; No. 4; Art. No. 67; 10.1007/JHEP04(2021)067
- Christiansen, Jacob S.; Simon, Barry; et al. (2021) Remarks
on periodic Jacobi matrices on trees; Journal of Mathematical
Physics; Vol. 62; No. 4; Art. No. 042101; 10.1063/5.0033702
- Frank, R. L. and Larson, S. (2021) Two
Consequences of Davies’ Hardy Inequality; Functional Analysis and
Its Applications; Vol. 55; No. 2; 174-177; 10.1134/S0016266321020106
- Aschbacher, Michael (2021) Walter’s
theorem for fusion systems; Proceedings of the London Mathematical
Society; Vol. 122; No. 4; 569-615; 10.1112/plms.12386
- Hutchcroft, Tom (2021) The
critical two-point function for long-range percolation on the
hierarchical lattice; 10.48550/arXiv.2103.17013
- Etingof, Pavel; Klyuev, Daniil; et al. (2021) Twisted
Traces and Positive Forms on Quantized Kleinian Singularities of Type
A; Symmetry, Integrability and Geometry, Methods and Applications
(SIGMA); Vol. 17; Art. No. 29; 10.3842/sigma.2021.029
- Gukov, Sergei and Manolescu, Ciprian (2021) A
two-variable series for knot complements; Quantum Topology; Vol. 12;
No. 1; 1-109; 10.4171/QT/145
- Bartholdi, Laurent; Hann-Caruthers, Wade; et al. (2021) Equitable
Voting Rules; Econometrica; Vol. 89; No. 2; 563-589; 10.3982/ecta17032
- Dodelson, Matthew and Ooguri, Hirosi (2021) Singularities
of thermal correlators at strong coupling; Physical Review D; Vol.
103; No. 6; Art. No. 066018; 10.1103/physrevd.103.066018
- Aschbacher, Michael (2021) Walter’s
basic theorem for fusion systems; Journal of Algebra; Vol. 570;
595-610; 10.1016/j.jalgebra.2020.11.018
- Song, Antoine (2021) Bounded
sectional curvature and essential minimal volume; 10.48550/arXiv.2103.05659
- Yu, Tony Yue (2021) Enumeration
of holomorphic cylinders in log Calabi–Yau surfaces, II : Positivity,
integrality and the gluing formula; Geometry & Topology; Vol.
25; No. 1; 1-46; 10.2140/gt.2021.25.1
- Zhang, Pengfei; Gu, Yingfei; et al. (2021) An
obstacle to sub-AdS holography for SYK-like models; Journal of High
Energy Physics; Vol. 2021; No. 3; Art. No. 94; 10.1007/jhep03(2021)094
- Dadras, Pouria and Kitaev, Alexei (2021) Perturbative
calculations of entanglement entropy; Journal of High Energy
Physics; Vol. 2021; No. 3; Art. No. 198; 10.1007/jhep03(2021)198
- Frank, Rupert L. and Seiringer, Robert (2021) Quantum
Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron;
Communications on Pure and Applied Mathematics; Vol. 74; No. 3; 544-588;
10.1002/cpa.21944
- Frank, Rupert L.; König, Tobias; et al. (2021) Blow-up
of solutions of critical elliptic equation in three dimensions; 10.48550/arXiv.2102.10525
- Conlon, David and Ferber, Asaf (2021) Lower
bounds for multicolor Ramsey numbers; Advances in Mathematics; Vol.
378; Art. No. 107528; 10.1016/j.aim.2020.107528
- Frank, Rupert L.; Merz, Konstantin; et al. (2021) Equivalence
of Sobolev Norms Involving Generalized Hardy Operators;
International Mathematics Research Notices; Vol. 2021; No. 3; 2284-2303;
10.1093/imrn/rnz135
- Harel, Matan; Mossel, Elchanan; et al. (2021) Rational
Groupthink; Quarterly Journal of Economics; Vol. 136; No. 1;
621-668; 10.1093/qje/qjaa026
- Eischen, E. and Mantovan, E. (2021) p-adic
families of automorphic forms in the µ-ordinary setting; American
Journal of Mathematics; Vol. 143; No. 1; 1-52; 10.1353/ajm.2021.0006
- Fox, Jacob; Pham, Huy Tuan; et al. (2021) Common
and Sidorenko Linear Equations; The Quarterly Journal of
Mathematics; Vol. 72; No. 4; 1223-1234; 10.1093/qmath/haaa068
- Manin, Yuri I. and Marcolli, Matilde (2021) Homotopy
Spectra and Diophantine Equations; 10.48550/arXiv.2101.00197
- Mu, Xiaosheng; Pomatto, Luciano; et al. (2021) From
Blackwell Dominance in Large Samples to Rényi Divergences and Back
Again; Econometrica; Vol. 89; No. 1; 475-506; 10.3982/ECTA17548
- Flach, Matthias and Morin, Baptiste (2021) Compatibility
of Special Value Conjectures with the Functional Equation of Zeta
Functions; Documenta Mathematica; Vol. 26; 1633-1677
- Anari, Nima; Jain, Vishesh; et al. (2021) Entropic
Independence I: Modified Log-Sobolev Inequalities for Fractionally
Log-Concave Distributions and High-Temperature Ising Models; 10.48550/arxiv.2106.04105
- Anari, Nima; Jain, Vishesh; et al. (2021) Entropic
Independence II: Optimal Sampling and Concentration via Restricted
Modified Log-Sobolev Inequalities; 10.48550/arxiv.2111.03247
- Combe, Noémie C.; Manin, Yuri I.; et al. (2020) Birational
maps and Nori motives; 10.48550/arXiv.2012.13814
- Lee, Chul-hee; Rains, Eric M.; et al. (2020) An
Elliptic Hypergeometric Function Approach to Branching Rules;
Symmetry, Integrability and Geometry, Methods and Applications (SIGMA);
Vol. 16; Art. No. 142; 10.3842/sigma.2020.142
- Hsin, Po-Shen; Kapustin, Anton; et al. (2020) Berry
phase in quantum field theory: Diabolical points and boundary
phenomena; Physical Review B; Vol. 102; No. 24; Art. No. 245113; 10.1103/PhysRevB.102.245113
- Marcolli, Matilde and Penrose, Roger (2020) Gluing
Noncommutative Twistor Spaces; 10.48550/arXiv.2012.02823v1
- Frank, Rupert L.; König, Tobias; et al. (2020) Classification
of solutions of an equation related to a conformal log Sobolev
inequality; Advances in Mathematics; Vol. 375; Art. No. 107395; 10.1016/j.aim.2020.107395
- Aschbacher, Michael (2020) Fusion
systems with alternating J‐components; Journal of the London
Mathematical Society; Vol. 102; No. 3; 905-956; 10.1112/jlms.12335
- Curien, Nicolas; Hutchcroft, Tom; et al. (2020) Geometric
and spectral properties of causal maps; Journal of the European
Mathematical Society; Vol. 22; No. 12; 3997-4024; 10.4171/jems/1001
- Conlon, David; Das, Shagnik; et al. (2020) Ramsey
games near the critical threshold; Random Structures and Algorithms;
Vol. 57; No. 4; 940-957; 10.1002/rsa.20959
- Conlon, David; Fox, Jacob; et al. (2020) Short
proofs of some extremal results III; Random Structures &
Algorithms; Vol. 57; No. 4; 958-982; 10.1002/rsa.20953
- Hutchcroft, Tom (2020) New
critical exponent inequalities for percolation and the random cluster
model; Probability and Mathematical Physics; Vol. 1; No. 1; 147-165;
10.2140/pmp.2020.1.147
- Hutchcroft, Tom (2020) Transience
and recurrence of sets for branching random walk via non-standard
stochastic orders; 10.48550/arXiv.2011.06402
- Lunkin, A. V.; Kitaev, A. Yu.; et al. (2020) Perturbed
Sachdev-Ye-Kitaev Model: A Polaron in the Hyperbolic Plane; Physical
Review Letters; Vol. 125; No. 19; Art. No. 196602; 10.1103/physrevlett.125.196602
- Rains, Eric M. (2020) Elliptic
Double Affine Hecke Algebras; Symmetry, Integrability and Geometry:
Methods and Applications (SIGMA); Vol. 16; Art. No. 111; 10.3842/SIGMA.2020.111
- Aschbacher, Michael (2020) The
2-fusion system of an almost simple group; Journal of Algebra; Vol.
561; 5-16; 10.1016/j.jalgebra.2019.08.017
- Franco, Sebastián; Gukov, Sergei; et al. (2020) “Lagrangian
disks” in M-theory; Journal of High Energy Physics; Vol. 2020;
No. 11; Art. No. 33; 10.1007/jhep11(2020)033
- Conlon, David; Tidor, Jonathan; et al. (2020) Hypergraph
expanders of all uniformities from Cayley graphs; Proceedings of the
London Mathematical Society; Vol. 121; No. 5; 1311-1336; 10.1112/plms.12371
- Basu, Pathikrit; Chatterjee, Kalyan; et al. (2020) Repeated
Coordination with Private Learning; Journal of Economic Theory; Vol.
190; Art. No. 105106; 10.1016/j.jet.2020.105106
- Hutchcroft, Tom and Sousi, Perla (2020) Logarithmic
corrections to scaling in the four-dimensional uniform spanning
tree; 10.48550/arXiv.2010.15830
- Frank, Rupert L.; Kim, Seunghyeok; et al. (2020) Non-degeneracy
for the critical Lane–Emden system; Proceedings of the American
Mathematical Society; Vol. 149; No. 1; 265-278; 10.1090/proc/15217
- Hutchcroft, Tom (2020) The
L² boundedness condition in nonamenable percolation; Electronic
Journal of Probability; Vol. 25; Art. No. 127; 10.1214/20-ejp525
- Frank, Rupert L. and Gang, Zhou (2020) A
non-linear adiabatic theorem for the one-dimensional Landau–Pekar
equations; Journal of Functional Analysis; Vol. 279; No. 7; Art.
No. 108631; 10.1016/j.jfa.2020.108631
- Mu, Xiaosheng; Pomatto, Luciano; et al. (2020) Background
Risk and Small-Stakes Risk Aversion; 10.48550/arXiv.2010.08033
- Frank, Rupert L. and Larson, Simon (2020) Semiclassical
asymptotics for a class of singular Schrödinger operators; 10.48550/arXiv.2010.05417
- Frank, Rupert L.; Gontier, David; et al. (2020) The
periodic Lieb-Thirring inequality; 10.48550/arXiv.2010.02981
- Dedushenko, Mykola; Gukov, Sergei; et al. (2020) 3d
TQFTs from Argyres–Douglas theories; Journal of Physics A:
Mathematical and General; Vol. 53; No. 43; Art. No. 43LT01; 10.1088/1751-8121/abb481
- Gwynne, Ewain and Hutchcroft, Tom (2020) Anomalous
diffusion of random walk on random planar maps; Probability Theory
and Related Fields; Vol. 178; No. 1-2; 567-611; 10.1007/s00440-020-00986-7
- Kapustin, Anton and Sopenko, Nikita (2020) Hall
conductance and the statistics of flux insertions in gapped interacting
lattice systems; Journal of Mathematical Physics; Vol. 61; No. 10;
Art. No. 101901; 10.1063/5.0022944
- Hutchcroft, Tom (2020) Non-intersection
of transient branching random walks; Probability Theory and Related
Fields; Vol. 178; No. 1-2; 1-23; 10.1007/s00440-020-00964-z
- Hutchcroft, Tom (2020) Nonuniqueness
and mean-field criticality for percolation on nonunimodular transitive
graphs; Journal of the American Mathematical Society; Vol. 33;
No. 4; 1101-1165; 10.1090/jams/953
- Conley, Clinton T. and Tamuz, Omer (2020) Unfriendly
colorings of graphs with finite average degree; Proceedings of the
London Mathematical Society; Vol. 121; No. 4; 828-832; 10.1112/plms.12345
- Burton, Peter J. and Kechris, Alexander S. (2020) Weak
containment of measure-preserving group actions; Ergodic Theory and
Dynamical Systems; Vol. 40; No. 10; 2681-2733; 10.1017/etds.2019.26
- Frank, Rupert L.; Merz, Konstantin; et al. (2020) Relativistic
Strong Scott Conjecture: A Short Proof; 10.48550/arXiv.2009.02474
- Chun, Sungbong; Gukov, Sergei; et al. (2020) 3d-3d
correspondence for mapping tori; Journal of High Energy Physics;
Vol. 2020; No. 9; Art. No. 152; 10.1007/jhep09(2020)152
- Christiansen, Jacob S.; Simon, Barry; et al. (2020) Asymptotics
of Chebyshev Polynomials. IV. Comments on the Complex Case; Journal
d’Analyse Mathématique; Vol. 141; No. 1; 207-223; 10.1007/s11854-020-0120-9
- Hutchcroft, Tom and Pete, Gábor (2020) Kazhdan
groups have cost 1; Inventiones Mathematicae; Vol. 221; No. 3;
873-891; 10.1007/s00222-020-00967-6
- Frank, Rupert L. and Larson, Simon (2020) Two-term
spectral asymptotics for the Dirichlet Laplacian in a Lipschitz
domain; Journal für die reine und angewandte Mathematik; Vol. 2020;
No. 766; 195-228; 10.1515/crelle-2019-0019
- Avni, Nir; Breuer, Jonathan; et al. (2020) Periodic
Jacobi Matrices on Trees; Advances in Mathematics; Vol. 370; Art.
No. 107241; 10.1016/j.aim.2020.107241
- Hutchcroft, Tom (2020) Power-law
bounds for critical long-range percolation below the upper-critical
dimension; 10.48550/arXiv.2008.11197
- Katz, Nets Hawk and Zahl, Joshua (2020) A
Kakeya maximal function estimate in four dimensions using
planebrushes; Revista Matemática Iberoamericana; Vol. 37; No. 1;
317-359; 10.4171/rmi/1219
- Andriolo, Stefano; Huang, Tzu-Chen; et al. (2020) Duality
and axionic weak gravity; Physical Review D; Vol. 102; No. 4; Art.
No. 046008; 10.1103/PhysRevD.102.046008
- Castelvecchi, Davide and Simon, Barry (2020) The
mathematician who helped to reshape physics; Nature; Vol. 584;
No. 7819; 20-20; 10.1038/d41586-020-02297-2
- Hacking, Paul; Keel, Sean; et al. (2020) Secondary
fan, theta functions and moduli of Calabi-Yau pairs; 10.48550/arXiv.2008.02299
- Porta, Mauro and Yu, Tony Yue (2020) Representability
theorem in derived analytic geometry; Journal of the European
Mathematical Society; Vol. 22; No. 12; 3867-3951; 10.4171/JEMS/998
- Kapustin, Anton; Willett, Brian; et al. (2020) Tests
of Seiberg-like Dualities in Three Dimensions; Journal of High
Energy Physics; Vol. 2020; No. 8; Art. No. 114; 10.1007/JHEP08(2020)114
- Hutchcroft, Tom (2020) Continuity
of the Ising phase transition on nonamenable groups; 10.48550/arXiv.2007.15625
- Frank, Rupert L. (2020) The
Lieb-Thirring inequalities: Recent results and open problems; 10.48550/arXiv.2007.09326
- Aluffi, Paolo; Marcolli, Matilde; et al. (2020) Motives
of melonic graphs; 10.48550/arXiv.2007.08565
- Christiansen, Jacob S.; Simon, Barry; et al. (2020) Asymptotics
of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and
Totik–Widom Bounds; ISBN 978-3-030-31530-6; Analysis as a Tool in
Mathematical Physics: In Memory of Boris Pavlov; Springer: Cham;
231-246; 10.1007/978-3-030-31531-3_15
- Frank, Rupert L. and Sabin, Julien (2020) Sharp
Weyl laws with singular potentials; 10.48550/arXiv.2007.04284
- Arieli, Itai; Babichenko, Yakov; et al. (2020) Feasible
Joint Posterior Beliefs; ISBN 978-1-4503-7975-5; Proceedings of the
21st ACM Conference on Economics and Computation; Association for
Computing Machinery: New York, NY; 643; 10.1145/3391403.3399505
- Marcolli, Matilde and Panangaden, Jane (2020) Quantum
Statistical Mechanics and the Boundary of Modular Curves; 10.48550/arXiv.2006.16897
- Ooguri, Hirosi and Takayanagi, Tadashi (2020) Cobordism
Conjecture in AdS; 10.48550/arXiv.2006.13953
- Kapustin, Anton and Spodyneiko, Lev (2020) Higher-dimensional
generalizations of the Berry curvature; Physical Review B; Vol. 101;
No. 23; Art. No. 235130; 10.1103/PhysRevB.101.235130
- Combe, Noémie C.; Manin, Yuri I.; et al. (2020) Dessins
for Modular Operad and Grothendieck-Teichmüller Group; 10.48550/arXiv.2006.13663
- Manin, Yuri I. and Marcolli, Matilde (2020) Quantum
Statistical Mechanics of the Absolute Galois Group; Symmetry,
Integrability and Geometry, Methods and Applications (SIGMA); Vol. 16;
Art. No. 038; 10.3842/sigma.2020.038
- Hutchcroft, Tom (2020) Indistinguishability
of collections of trees in the uniform spanning forest; Annales de
l’Institut Henri Poincaré, Probabilités et Statistiques; Vol. 56; No. 2;
917-927; 10.1214/19-AIHP988
- Hutchcroft, Tom (2020) Locality
of the critical probability for transitive graphs of exponential
growth; Annals of Probability; Vol. 48; No. 3; 1352-1371; 10.1214/19-AOP1395
- Mossel, Elchanan; Mueller-Frank, Manuel; et al. (2020) Social
Learning Equilibria; Econometrica; Vol. 88; No. 3; 1235-1267; 10.3982/ecta16465
- Pomatto, Luciano; Strack, Philipp; et al. (2020) Stochastic
Dominance Under Independent Noise; Journal of Political Economy;
Vol. 128; No. 5; 1877-1900; 10.1086/705555
- Carlen, Eric A.; Frank, Rupert L.; et al. (2020) Inequalities
that sharpen the triangle inequality for sums of N functions in L^p;
Arkiv för Matematik; Vol. 58; No. 1; 57-69; 10.4310/ARKIV.2020.v58.n1.a4
- Ballinger, William; Hsu, Chloe Ching-Yun; et al. (2020) The
prism manifold realization problem; Algebraic and Geometric
Topology; Vol. 20; 757-816; 10.2140/agt.2020.20.757
- Emmert, Lukas; Frank, Rupert L.; et al. (2020) Liquid
Drop Model for Nuclear Matter in the Dilute Limit; SIAM Journal on
Mathematical Analysis; Vol. 52; No. 2; 1980-1999; 10.1137/19M1274420
- Fathizadeh, Farzad; Kafkoulis, Yeorgia; et al. (2020) Bell
Polynomials and Brownian Bridge in Spectral Gravity Models on
Multifractal Robertson–Walker Cosmologies; Annales Henri Poincaré;
Vol. 21; No. 4; 1329-1382; 10.1007/s00023-020-00894-5
- Frank, Rupert L. and Larson, Simon (2020) On
the error in the two-term Weyl formula for the Dirichlet Laplacian;
Journal of Mathematical Physics; Vol. 61; No. 4; Art. No. 043504; 10.1063/1.5145003
- Gukov, Sergei; Pei, Du; et al. (2020) Trialities
of minimally supersymmetric 2d gauge theories; Journal of High
Energy Physics; Vol. 2020; No. 4; Art. No. 079; 10.1007/JHEP04(2020)079
- Kapustin, Anton and Spodyneiko, Lev (2020) Higher-dimensional
generalizations of the Thouless charge pump; 10.48550/arXiv.2003.09519
- Dodelson, Matthew and Ooguri, Hirosi (2020) The
High Energy Behavior of Mellin Amplitudes; Physical Review D; Vol.
101; No. 6; Art. No. 066008; 10.1103/PhysRevD.101.066008
- Benjamin, Nathan; Ooguri, Hirosi; et al. (2020) Twist
Gap and Global Symmetry in Two Dimensions; Physical Review D; Vol.
101; No. 10; Art. No. 106026; 10.1103/PhysRevD.101.106026
- Vigneaux, Juan Pablo (2020) A
homological characterization of generalized multinomial coefficients
related to the entropic chain rule; 10.48550/arXiv.2003.02021
- Manin, Yuri I. and Marcolli, Matilde (2020) Nori
Diagrams and Persistent Homology; Mathematics in Computer Science;
Vol. 14; 77-102; 10.1007/s11786-019-00422-7
- Borrelli, William and Frank, Rupert L. (2020) Sharp
decay estimates for critical Dirac equations; Transactions of the
American Mathematical Society; Vol. 373; No. 3; 2045-2070; 10.1090/tran/7958
- Angel, Omer; Hutchcroft, Tom; et al. (2020) On
the tail of the branching random walk local time; 10.48550/arXiv.2002.12188
- Conlon, David; Fox, Jacob; et al. (2020) Books
versus triangles at the extremal density; SIAM Journal on Discrete
Mathematics; Vol. 34; No. 1; 385-398; 10.1137/19M1261766
- Hutchcroft, Tom (2020) Slightly
supercritical percolation on nonamenable graphs I: The distribution of
finite clusters; 10.48550/arXiv.2002.02916
- Marcolli, Matilde (2020) Holographic
Codes on Bruhat-Tits buildings and Drinfeld Symmetric Spaces; Pure
and Applied Mathematics Quarterly; Vol. 16; No. 1; 1-33; 10.4310/PAMQ.2020.v16.n1.a1
- Gukov, Sergei; Pei, Du; et al. (2020) BPS
spectra and 3-manifold invariants; Journal of Knot Theory and its
Ramifications; Vol. 29; No. 2; Art. No. 2040003; 10.1142/S0218216520400039
- Biringer, Ian; Bowen, Lewis; et al. (2020) Invariant
random subgroups of semidirect products; Ergodic Theory and
Dynamical Systems; Vol. 40; No. 2; 353-366; 10.1017/etds.2018.46
- Gu, Yingfei; Kitaev, Alexei; et al. (2020) Notes
on the complex Sachdev-Ye-Kitaev model; Journal of High Energy
Physics; Vol. 2020; No. 2; Art. No. 157; 10.1007/jhep02(2020)157
- Hutchcroft, Tom (2020) Universality
of high-dimensional spanning forests and sandpiles; Probability
Theory and Related Fields; Vol. 176; No. 1-2; 533-597; 10.1007/s00440-019-00923-3
- Porta, Mauro and Yu, Tony Yue (2020) Non-archimedean
quantum K-invariants; 10.48550/arXiv.2001.05515
- Kapustin, Anton and Spodyneiko, Lev (2020) Thermal
Hall conductance and a relative topological invariant of gapped
two-dimensional systems; Physical Review B; Vol. 101; No. 4; Art.
No. 045137; 10.1103/PhysRevB.101.045137
- Kapustin, Anton and Fidkowski, Lukasz (2020) Local
Commuting Projector Hamiltonians and the Quantum Hall Effect;
Communications in Mathematical Physics; Vol. 373; No. 1; 763-769; 10.1007/s00220-019-03444-1
- Holroyd, Alexander E.; Hutchcroft, Tom; et al. (2020) Mallows
permutations and finite dependence; Annals of Probability; Vol. 48;
No. 1; 343-379; 10.1214/19-AOP1363
- Feigin, Boris and Gukov, Sergei (2020) VOA[M₄];
Journal of Mathematical Physics; Vol. 61; No. 1; Art. No. 012302; 10.1063/1.5100059
- Kurasov, Pavel; Laptev, Ari; et al. (2020) Analysis
as a Tool in Mathematical Physics: In Memory of Boris Pavlov; ISBN
978-3-030-31530-6; Analysis as a Tool in Mathematical Physics; Springer:
Cham; 10.1007/978-3-030-31531-3
- Manin, Yuri I. and Marcolli, Matilde (2020) Homotopy
types and geometries below Spec(ℤ); ISBN 978-1-4704-5100-4;
Dynamics: Topology and Numbers; American Mathematical Society:
Providence, RI; 27-56; 10.1090/conm/744/14978
- Frank, Rupert L.; Merz, Konstantin; et al. (2020) Proof
of the Strong Scott Conjecture for Chandrasekhar Atoms; Pure and
Applied Functional Analysis; Vol. 5; No. 6; 1319-1356; 10.48550/arXiv.1907.04894
- Kechris, Alexander S. (2020) Quasi-invariant
measures for continuous group actions; ISBN 978-1-4704-4332-0;
Trends in Set Theory; American Mathematical Society: Providence, RI;
113-119; 10.1090/conm/752/15132
- Song, Antoine (2019) Appearance
of stable minimal spheres along the Ricci flow in positive scalar
curvature; Geometry & Topology; Vol. 23; No. 7; 3501-3535; 10.2140/gt.2019.23.3501
- Conlon, David; Gishboliner, Lior; et al. (2019) A
New Bound for the Brown-Erdős-Sós Problem; 10.48550/arXiv.1912.08834
- Chen, Yu-An and Kapustin, Anton (2019) Bosonization
in three spatial dimensions and a 2-form gauge theory; Physical
Review B; Vol. 100; No. 24; Art. No. 245127; 10.1103/PhysRevB.100.245127
- Ni, Yi and Vafaee, Faramarz (2019) Null
surgery on knots in L-spaces; Transactions of the American
Mathematical Society; Vol. 372; No. 12; 8279-8306; 10.1090/tran/7510
- Fritz, Tobias and Tamuz, Omer (2019) There
are no monotone homomorphisms out of the convolution semigroup; 10.48550/arXiv.1912.01733
- Carrillo, José A.; Delgadino, Matías G.; et al. (2019) Reverse
Hardy-Littlewood-Sobolev inequalities; Journal de Mathématiques
Pures et Appliquées; Vol. 132; 133-165; 10.1016/j.matpur.2019.09.001
- Frisch, Joshua; Tamuz, Omer; et al. (2019) Strong
amenability and the infinite conjugacy class property; Inventiones
Mathematicae; Vol. 218; No. 3; 833-851; 10.1007/s00222-019-00896-z
- Song, Antoine (2019) Morse
index, Betti numbers and singular set of bounded area minimal
hypersurfaces; 10.48550/arXiv.1911.09166
- Jitomirskaya, Svetlana; Molchanovsimon, Stanislav; et al. (2019) Alexander
Gordon; Journal of Spectral Theory; Vol. 9; No. 4; 1157-1164; 10.4171/JST/293
- Ketover, Daniel; Liokumovich, Yevgeny; et al. (2019) On
the existence of minimal Heegaard surfaces; 10.48550/arXiv.1911.07161
- Chen, Yu-An; Kapustin, Anton; et al. (2019) Free
and interacting short-range entangled phases of fermions: Beyond the
tenfold way; Physical Review B; Vol. 100; No. 19; Art. No. 195128;
10.1103/PhysRevB.100.195128
- Frank, Rupert L. and König, Tobias (2019) Singular
solutions to a semilinear biharmonic equation with a general critical
nonlinearity; Rendiconti Lincei - Matematica e Applicazioni; Vol.
30; No. 4; 817-846; 10.4171/RLM/871
- Gadde, Abhijit; Gukov, Sergei; et al. (2019) Exact
Solutions of 2d Supersymmetric Gauge Theories; Journal of High
Energy Physics; Vol. 2019; No. 11; Art. No. 174; 10.1007/JHEP11(2019)174
- Frank, Rupert L. and Pushnitski, Alexander (2019) Schatten
class conditions for functions of Schrödinger operators; Annales
Henri Poincaré; Vol. 20; No. 11; 3543-3562; 10.1007/s00023-019-00838-8
- Hutchcroft, Tom (2019) Non-intersection
of transient branching random walks; 10.48550/arXiv.1910.01018
- Cheng, Miranda C. N.; Chun, Sungbong; et al. (2019) 3d
modularity; Journal of High Energy Physics; Vol. 2019; No. 10; Art.
No. 10; 10.1007/jhep10(2019)010
- Hutchcroft, Tom and Peres, Yuval (2019) The
component graph of the uniform spanning forest: transitions in
dimensions 9,10,11, …; Probability Theory and Related Fields; Vol.
175; No. 1-2; 141-208; 10.1007/s00440-018-0884-3
- Benjamin, Nathan; Ooguri, Hirosi; et al. (2019) Light-cone
modular bootstrap and pure gravity; Physical Review D; Vol. 100;
No. 6; Art. No. 066029; 10.1103/PhysRevD.100.066029
- Hutchcroft, Tom and Nachmias, Asaf (2019) Uniform
spanning forests of planar graphs; Forum Mathetmatics, Sigma; Vol.
7; Art. No. e29; 10.1017/fms.2019.14
- Frank, Rupert L. and Lieb, Elliott H. (2019) Periodic
energy minimizers for a one-dimensional liquid drop model; Letters
in Mathematical Physics; Vol. 109; No. 9; 2069-2081; 10.1007/s11005-019-01171-1
- Hutchcroft, Tom (2019) Self-avoiding
walk on nonunimodular transitive graphs; Annals of Probability; Vol.
47; No. 5; 2801-2829; 10.1214/18-AOP1322
- Keel, Sean and Yu, Tony Yue (2019) The
Frobenius structure theorem for affine log Calabi-Yau varieties
containing a torus; 10.48550/arXiv.1908.09861
- Conlon, David (2019) Graphs
with few paths of prescribed length between any two vertices; 10.48550/arXiv.1411.0856
- Kapustin, Anton and Spodyneiko, Lev (2019) Absence
of Energy Currents in an Equilibrium State and Chiral Anomalies;
Physical Review Letters; Vol. 123; No. 6; Art. No. 060601; 10.1103/PhysRevLett.123.060601
- Frisch, Joshua and Tamuz, Omer (2019) Characteristic
measures of symbolic dynamical systems; 10.48550/arXiv.1908.02930
- Conlon, David (2019) The
Ramsey number of books; 10.48550/arXiv.1808.03157
- Li, Wanlin; Mantovan, Elena; et al. (2019) Newton
Polygons of Cyclic Covers of the Projective Line Branched at Three
Points; ISBN 978-3-030-19477-2; Research Directions in Number Theory
- Women in Numbers IV; Springer: Cham; 115-132; 10.1007/978-3-030-19478-9_5
- Frank, Rupert L. and Pushnitski, Alexander (2019) Kato
smoothness and functions of perturbed self-adjoint operators;
Advances in Mathematics; Vol. 351; 343-387; 10.1016/j.aim.2019.05.002
- Frisch, Joshua; Hartman, Yair; et al. (2019) Choquet-Deny
groups and the infinite conjugacy class property; Annals of
Mathematics; Vol. 190; No. 1; 307-320; 10.4007/annals.2019.190.1.5
- Frank, Rupert L. (2019) Non-spherical
equilibrium shapes in the liquid drop model; Journal of Mathematical
Physics; Vol. 60; No. 7; Art. No. 071506; 10.1063/1.5095603
- Conlon, David; Fox, Jacob; et al. (2019) Hypergraph
cuts above the average; 10.48550/arXiv.1803.08462
- Conlon, David (2019) Hypergraph
expanders from Cayley graphs; 10.48550/arXiv.1709.10006
- Martínez–Finkelshtein, Andrei; Simanek, Brian; et al. (2019) Poncelet’s
theorem, paraorthogonal polynomials and the numerical range of
compressed multiplication operators; Advances in Mathematics; Vol.
349; 992-1035; 10.1016/j.aim.2019.04.027
- Simon, Barry (2019) Tosio
Kato’s Work on Non-relativistic Quantum Mechanics: A Brief Report;
ISBN 9783030126605; Analysis and Operator Theory: Dedicated in Memory of
Tosio Kato’s 100th Birthday; Springer International Publishing: Cham,
Switzerland; 353-378; 10.1007/978-3-030-12661-2_16
- Manin, Yu. I. and Marcolli, M. (2019) Asymptotic
bounds for spherical codes; Izvestiya: Mathematics; Vol. 83; No. 3;
540-564; 10.1070/im8739
- Bartholdi, Laurent; Hann-Caruthers, Wade; et al. (2019) Equitable
Voting Rules; ISBN 978-1-4503-6792-9; Proceedings of the 2019 ACM
Conference on Economics and Computation; Association for Computing
Machinery: New York, NY; 315; 10.1145/3328526.3329551
- Marcolli, Matilde (2019) Gamma
spaces and information; Journal of Geometry and Physics; Vol. 140;
26-55; 10.1016/j.geomphys.2019.02.004
- Hutchcroft, Tom (2019) Percolation
on hyperbolic graphs; Geometric and Functional Analysis; Vol. 29;
No. 3; 766-810; 10.1007/s00039-019-00498-0
- Cornelissen, Gunther; Li, Xin; et al. (2019) Reconstructing
global fields from dynamics in the abelianized Galois group; Selecta
Mathematica - New Series; Vol. 25; No. 6; Art. No. 24; 10.1007/s00029-019-0469-8
- Conlon, David; Fox, Jacob; et al. (2019) Tower-type
bounds for unavoidable patterns in words; Transactions of the
American Mathematical Society; 10.1090/tran/7751
- Harlow, Daniel and Ooguri, Hirosi (2019) Constraints
on Symmetries from Holography; Physical Review Letters; Vol. 122;
No. 19; Art. No. 191601; 10.1103/PhysRevLett.122.191601
- Kechris, Alexander S. and Quorning, Vibeke (2019) Co-induction
and invariant random subgroups; Groups, Geometry, and Dynamics; Vol.
13; No. 4; 1151-1193; 10.4171/GGD/517
- Marques, Fernando C.; Neves, André; et al. (2019) Equidistribution
of minimal hypersurfaces for generic metrics; Inventiones
Mathematicae; Vol. 216; No. 2; 421-443; 10.1007/s00222-018-00850-5
- Frisch, Joshua; Schlank, Tomer; et al. (2019) Normal
amenable subgroups of the automorphism group of the full shift;
Ergodic Theory and Dynamical Systems; Vol. 39; No. 5; 1290-1298; 10.1017/etds.2017.72
- Kitaev, Alexei and Suh, S. Josephine (2019) Statistical
mechanics of a two-dimensional black hole; Journal of High Energy
Physics; Vol. 2019; No. 5; Art. No. 198; 10.1007/JHEP05(2019)198
- Hutchcroft, Tom (2019) Statistical
physics on a product of trees; Annales de l’Institut Henri Poincaré,
Probabilités et Statistiques; Vol. 55; No. 2; 1001-1010; 10.1214/18-aihp906
- Nicaise, Johannes; Xu, Chenyang; et al. (2019) The
non-archimedean SYZ fibration; Compositio Mathematica; Vol. 155;
No. 5; 953-972; 10.1112/S0010437X19007152
- Frank, R. L. and Laptev, A. (2019) Bound
on the number of negative eigenvalues of two-dimensional Schrödinger
operators on domains; ISBN 978-3-03719-175-0; Functional Analysis
and Operator Theory for Quantum Physics: The Pavel Exner Anniversary
Volume; American Mathematical Society; St. Petersburg Mathematical
Journal; Vol. 30; No. 3; 573-589; 10.1090/spmj/1559
- Hutchcroft, Tom (2019) Harmonic
Dirichlet functions on planar graphs; Discrete & Computational
Geometry; Vol. 61; No. 3; 479-506; 10.1007/s00454-019-00057-2
- Hartman, Yair; Juschenko, Kate; et al. (2019) Thompson’s
group F is not strongly amenable; Ergodic Theory and Dynamical
Systems; Vol. 39; No. 4; 925-929; 10.1017/etds.2017.49
- Simon, Barry (2019) Tosio
Kato’s work on non-relativistic quantum mechanics: part 2; Bulletin
of Mathematical Sciences; Vol. 9; No. 1; Art. No. 1950005; 10.1007/s13373-018-0121-5
- Rains, Eric M. and Sam, Steven V. (2019) Vector
bundles on genus 2 curves and trivectors; Algebraic Geometry; Vol.
6; No. 3; 328-345; 10.14231/AG-2019-016
- Dedushenko, Mykola and Gukov, Sergei (2019) IR
duality in 2D N = (0,2) gauge theory with noncompact dynamics;
Physical Review D; Vol. 99; No. 6; Art. No. 066005; 10.1103/PhysRevD.99.066005
- Port, Alexander; Karidi, Taelin; et al. (2019) Topological
Analysis of Syntactic Structures; 10.48550/arXiv.1903.05181
- Tamuz, Omer and Zheng, Tianyi (2019) On
the spectrum of asymptotic entropies of random walks; 10.48550/arXiv.1903.01312
- Cornelissen, Gunther; de Smit, Bart; et al. (2019) Characterization
of global fields by Dirichlet L-series; Research in Number Theory;
Vol. 5; No. 1; Art. No. 7; 10.1007/s40993-018-0143-9
- Li, Wanlin; Mantovan, Elena; et al. (2019) Newton
polygons arising from special families of cyclic covers of the
projective line; Research in Number Theory; Vol. 5; No. 1; Art.
No. 12; 10.1007/s40993-018-0149-3
- Song, Antoine (2019) A
dichotomy for minimal hypersurfaces in manifolds thick at infinity;
10.48550/arXiv.1902.06767
- Conlon, David and Lee, Joonkyung (2019) On
the extremal number of subdivisions; 10.48550/arXiv.1807.05008
- Pomatto, Luciano; Strack, Philipp; et al. (2019) The
cost of information; 10.48550/arXiv.1812.04211
- Marcolli, Matilde and Tabuada, Gonçalo (2019) Feynman
quadrics-motive of the massive sunset graph; Journal of Number
Theory; Vol. 195; 159-183; 10.1016/j.jnt.2018.06.001
- Gu, Yingfei and Kitaev, Alexei (2019) On
the relation between the magnitude and exponent of OTOCs; Journal of
High Energy Physics; Vol. 2019; No. 2; Art. No. 75; 10.1007/JHEP02(2019)075
- Conlon, David; Fox, Jacob; et al. (2019) Independent
arithmetic progressions; 10.48550/arXiv.1901.05084
- Ooguri, Hirosi; Palti, Eran; et al. (2019) Distance
and de Sitter Conjectures on the Swampland; Physics Letters B; Vol.
788; 180-184; 10.1016/j.physletb.2018.11.018
- Christiansen, Jacob S.; Simon, Barry; et al. (2019) Asymptotics
of Chebyshev Polynomials, II. DCT Subsets of ℝ; Duke Mathematical
Journal; Vol. 168; No. 2; 325-349; 10.1215/00127094-2018-0045
- Katz, Nets Hawk and Zahl, Joshua (2019) An
improved bound on the Hausdorff dimension of Besicovitch sets in
ℝ^3; Journal of the American Mathematical Society; Vol. 32; No. 1;
195-259; 10.1090/jams/907
- Conlon, David and Fox, Jacob (2019) Lines
in Euclidean Ramsey Theory; Discrete and Computational Geometry;
Vol. 61; No. 1; 218-225; 10.1007/s00454-018-9980-5
- Fan, Wentao; Fathizadeh, Farzad; et al. (2019) Modular
forms in the spectral action of Bianchi IX gravitational instantons;
Journal of High Energy Physics; Vol. 2019; No. 1; Art. No. 234; 10.1007/JHEP01(2019)234
- Frank, Rupert L. and König, Tobias (2019) Classification
of positive singular solutions to a nonlinear biharmonic equation with
critical exponent; Analysis & PDE; Vol. 12; No. 4; 1101-1113; 10.2140/apde.2019.12.1101
- Frank, Rupert L.; Hainzl, Christian; et al. (2019) The
BCS critical temperature in a weak homogeneous magnetic field;
Journal of Spectral Theory; Vol. 9; No. 3; 1005-1062; 10.4171/JST/270
- Lieber, Joshua F.; Manin, Yuri I.; et al. (2018) Bost-Connes
systems and F₁-structures in Grothendieck rings, spectra, and Nori
motives; 10.48550/arXiv.1901.00020
- Conlon, David and Lee, Joonkyung (2018) Sidorenko’s
conjecture for blow-ups; 10.48550/arXiv.1809.01259
- Frank, Rupert L. and Sabin, Julien (2018) Extremizers
for the Airy–Strichartz inequality; Mathematische Annalen; Vol. 372;
No. 3-4; 1121-1166; 10.1007/s00208-018-1695-7
- Fan, Wentao; Fathizadeh, Farzad; et al. (2018) Motives
and periods in Bianchi IX gravity models; Letters in Mathematical
Physics; Vol. 108; No. 12; 2729-2747; 10.1007/s11005-018-1096-6
- Katz, Nets Hawk and Rogers, Keith M. (2018) On
the polynomial Wolff axioms; Geometric and Functional Analysis; Vol.
28; No. 6; 1706-1716; 10.1007/s00039-018-0466-7
- Conlon, David; Kim, Jeong Han; et al. (2018) Some
advances on Sidorenko’s conjecture; Journal of the London
Mathematical Society; Vol. 98; No. 3; 593-608; 10.1112/jlms.12142
- Carlen, Eric A.; Frank, Rupert L.; et al. (2018) Inequalities
for quantum divergences and the Audenaert–Datta conjecture; Journal
of Physics A: Mathematical and Theoretical; Vol. 51; No. 48; Art.
No. 483001; 10.1088/1751-8121/aae8a3
- Conlon, David; Fox, Jacob; et al. (2018) Online
Ramsey Numbers and the Subgraph Query Problem; 10.48550/arXiv.1806.09726
- Li, Wanlin; Mantovan, Elena; et al. (2018) Newton
polygon stratification of the Torelli locus in PEL-type Shimura
varieties; 10.48550/arXiv.1811.00604
- Isett, Philip (2018) A
Proof of Onsager’s Conjecture; Annals of Mathematics; Vol. 188;
No. 3; 871-963; 10.4007/annals.2018.188.3.4
- Frank, Rupert L. and Hainzl, Christian (2018) The
BCS Critical Temperature in a Weak External Electric Field via a Linear
Two-Body Operator; ISBN 978-3-030-01601-2; Macroscopic Limits of
Quantum Systems; Springer: Cham; 29-62; 10.1007/978-3-030-01602-9_2
- Frank, Rupert L.; Nam, Phan Thành; et al. (2018) A
short proof of the ionization conjecture in Müller theory; ISBN
978-1-4704-3681-0; Mathematical Problems in Quantum Physics; American
Mathematical Society: Providence, RI; 1-12; 10.1090/conm/717/14437
- Breuer, Jonathan; Simon, Barry; et al. (2018) Large
Deviations and Sum Rules for Spectral Theory - A Pedagogical
Approach; Journal of Spectral Theory; Vol. 8; No. 4; 1551-1581; 10.4171/JST/235
- Breuer, Jonathan; Simon, Barry; et al. (2018) Large
Deviations and the Lukic Conjecture; Duke Mathematical Journal; Vol.
167; No. 15; 2857-2902; 10.1215/00127094-2018-0027
- Song, Antoine (2018) Embeddedness
of least area minimal hypersurfaces; Journal of Differential
Geometry; Vol. 110; No. 2; 345-377; 10.4310/jdg/1538791246
- Grayson, Daniel R. and Ramakrishnan, Dinakar (2018) Eisenstein
Series of Weight One, q-Averages of the 0-Logarithm and Periods of
Elliptic Curves; ISBN 978-3-319-97378-4; Geometry, Algebra, Number
Theory, and Their Information Technology Applications; Springer: Cham,
Switzerland; 245-266; 10.1007/978-3-319-97379-1_11
- Holroyd, Alexander E.; Hutchcroft, Tom; et al. (2018) Finitely
dependent cycle coloring; Electronic Communications in Probability;
Vol. 23; Art. No. 64; 10.1214/18-ECP118
- Kapustin, Anton; Turzillo, Alex; et al. (2018) Spin
Topological Field Theory and Fermionic Matrix Product States;
Physical Review B; Vol. 98; No. 12; Art. No. 125101; 10.1103/PhysRevB.98.125101
- Foxall, Eric; Hutchcroft, Tom; et al. (2018) Coalescing
random walk on unimodular graphs; Electronic Communications in
Probability; Vol. 23; Art. No. 62; 10.1214/18-ecp136
- Gorsky, Eugene; Gukov, Sergei; et al. (2018) Quadruply-graded
colored homology of knots; Fundamenta Mathematicae; Vol. 243;
209-299; 10.4064/fm30-11-2017
- Frank, Rupert L.; Nam, Phan Thành; et al. (2018) The
Maximal Excess Charge in Müller Density-Matrix-Functional Theory;
Annales Henri Poincaré; Vol. 19; No. 9; 2839-2867; 10.1007/s00023-018-0695-1
- Kechris, Alexander S.; Nies, André; et al. (2018) The
complexity of topological group isomorphism; Journal of Symbolic
Logic; Vol. 83; No. 3; 1190-1203; 10.1017/jsl.2018.25
- Aigner-Horev, Elad; Conlon, David; et al. (2018) Quasirandomness
in Hypergraphs; Electronic Journal of Combinatorics; Vol. 25; No. 3;
Art. No. P3.34
- Yu, Tony Yue (2018) Gromov
compactness in non-archimedean analytic geometry; Journal Für Die
Reine und Angewandte Mathematik; Vol. 2018; No. 741; 179-210; 10.1515/crelle-2015-0077
- Rains, Eric M. and Warnaar, S. Ole (2018) A
Nekrasov–Okounkov formula for Macdonald polynomials; Journal of
Algebraic Combinatorics; Vol. 48; No. 1; 1-30; 10.1007/s10801-017-0790-2
- Conlon, David and Kamčev, Nina (2018) Intervals
in the Hales-Jewett theorem; 10.48550/arXiv.1801.08919
- Carlen, Eric A.; Frank, Rupert L.; et al. (2018) Inequalities
for L^p-norms that sharpen the triangle inequality and complement
Hanner’s Inequality; 10.48550/arXiv.1807.05599
- Kapustin, Anton; McKinney, Tristan; et al. (2018) Wilsonian
effective field theory of two-dimensional Van Hove singularities;
Physical Review B; Vol. 98; No. 3; Art. No. 035122; 10.1103/PhysRevB.98.035122
- Rains, Eric M. and Sam, Steven V. (2018) Invariant
theory of ⋀^3(9) and genus 2 curves; Algebra and Number Theory; Vol.
12; No. 4; 935-957; 10.2140/ant.2018.12.935
- Poulin, David; Kitaev, Alexei; et al. (2018) Quantum
Algorithm for Spectral Measurement with a Lower Gate Count; Physical
Review Letters; Vol. 121; No. 1; Art. No. 010501; 10.1103/PhysRevLett.121.010501
- Angel, Omer; Hutchcroft, Tom; et al. (2018) Hyperbolic
and Parabolic Unimodular Random Maps; Geometric and Functional
Analysis; Vol. 28; No. 4; 879-942; 10.1007/s00039-018-0446-y
- Song, Antoine (2018) Existence
of infinitely many minimal hypersurfaces in closed manifolds; 10.48550/arXiv.1806.08816
- Cheng, Yu; Hann-Caruthers, Wade; et al. (2018) A
Deterministic Protocol for Sequential Asymptotic Learning; ISBN
978-1-5386-4780-6; 2018 IEEE International Symposium on Information
Theory (ISIT); IEEE: Piscataway, NJ; 1735-1738; 10.1109/ISIT.2018.8437859
- Chen, Yu-An; Kapustin, Anton; et al. (2018) Exact
bosonization in two spatial dimensions and a new class of lattice gauge
theories; Annals of Physics; Vol. 393; 234-253; 10.1016/j.aop.2018.03.024
- Mossel, Elchanan; Mueller-Frank, Manuel; et al. (2018) Social
Learning Equilibria; ISBN 978-1-4503-5829-3; Proceedings of the 2018
ACM Conference on Economics and Computation; Association for Computing
Machinery: New York, NY; 639; 10.1145/3219166.3219207
- Shu, Kevin; Aziz, Sharjeel; et al. (2018) Syntactic
Phylogenetic Trees; ISBN 978-3-319-64812-5; Foundations of
Mathematics and Physics One Century After Hilbert; Springer: Cham,
Switzerland; 417-441; 10.1007/978-3-319-64813-2_14
- Conlon, David; Kim, Jeong Han; et al. (2018) Sidorenko’s
conjecture for higher tree decompositions
- Jordan, Bruce W.; Keeton, Allan G.; et al. (2018) Abelian
varieties isogenous to a power of an elliptic curve; Compositio
Mathematica; Vol. 154; No. 5; 934-959; 10.1112/S0010437X17007990
- Conlon, David; Fox, Jacob; et al. (2018) Hereditary
quasirandomness without regularity; Mathematical Proceedings of the
Cambridge Philosophical Society; Vol. 164; No. 3; 385-399; 10.1017/s0305004116001055
- Bernardara, Marcello; Marcolli, Matilde; et al. (2018) Some
remarks concerning Voevodsky’s nilpotence conjecture; Journal für
die Reine und Angewandte Mathematik; Vol. 738; 299-312; 10.1515/crelle-2015-0068
- Kitaev, Alexei and Suh, S. Josephine (2018) The
soft mode in the Sachdev-Ye-Kitaev model and its gravity dual;
Journal of High Energy Physics; Vol. 2018; No. 5; Art. No. 183; 10.1007/JHEP05(2018)183
- Rains, Eric M.; Sun, Yi; et al. (2018) Affine
Macdonald conjectures and special values of Felder–Varchenko
functions; Selecta Mathematica - New Series; Vol. 24; No. 2;
1549-1591; 10.1007/s00029-017-0328-4
- Porta, Mauro and Yu, Tony Yue (2018) Derived
non-archimedean analytic spaces; Selecta Mathematica - New Series;
Vol. 24; No. 2; 609-665; 10.1007/s00029-017-0310-1
- Frank, Rupert L.; Jin, Tianling; et al. (2018) Minimizers
for the fractional Sobolev inequality on domains; Calculus of
Variations and Partial Differential Equations; Vol. 57; No. 2; Art.
No. 43; 10.1007/s00526-018-1304-3
- Simon, Barry (2018) Tosio
Kato’s work on non-relativistic quantum mechanics: part 1; Bulletin
of Mathematical Sciences; Vol. 8; No. 1; 121-232; 10.1007/s13373-018-0118-0
- Demirel-Frank, Semra and Shou, Laura (2018) Trace
formulas for Schrödinger operators on star graphs; Bulletin of
Mathematical Sciences; Vol. 8; No. 1; 15-31; 10.1007/s13373-016-0097-y
- Rains, Eric M. (2018) Multivariate
quadratic transformations and the interpolation kernel; Symmetry,
Integrability and Geometry: Methods and Applications (SIGMA); Vol. 14;
Art. No. 019; 10.3842/SIGMA.2018.019
- Chen, Ruiyuan and Kechris, Alexander S. (2018) Structurable
equivalence relations; Fundamenta Mathematicae; Vol. 242; 109-185;
10.4064/fm428-7-2017
- Hutchcroft, Tom (2018) Interlacements
and the wired uniform spanning forest; Annals of Probability; Vol.
46; No. 2; 1170-1200; 10.1214/17-aop1203
- Port, Alexander; Gheorghita, Iulia; et al. (2018) Persistent
Topology of Syntax; Mathematics in Computer Science; Vol. 12; No. 1;
33-50; 10.1007/s11786-017-0329-x
- Frank, Rupert L.; Nam, Phan Thành; et al. (2018) The
ionization conjecture in Thomas-Fermi-Dirac-von Weizsäcker theory;
Communications on Pure and Applied Mathematics; Vol. 71; No. 3; 577-614;
10.1002/cpa.21717
- Gukov, Sergei; Pei, Du; et al. (2018) Equivariant
Verlinde algebra from superconformal index and Argyres-Seiberg
duality; Communications in Mathematical Physics; Vol. 357; No. 3;
1215-1251; 10.1007/s00220-017-3074-8
- Tamuz, Omer; Vardi, Shai; et al. (2018) Non-Exploitable
Protocols for Repeated Cake Cutting
- Hutchcroft, Tom (2018) The
Hammersley-Welsh bound for self-avoiding walk revisited; Electronic
Communications in Probability; Vol. 23; Art. No. 5; 10.1214/17-ECP94
- Porta, Mauro and Yu, Tony Yue (2018) Derived
Hom spaces in rigid analytic geometry; 10.48550/arXiv.1801.07730
- Ni, Yi and Zhang, Xingru (2018) Finite
Dehn surgeries on knots in S^3; Algebraic & Geometric Topology;
Vol. 18; No. 1; 441-492; 10.2140/agt.2018.18.441
- Kempe, David; Schulman, Leonard J.; et al. (2018) Quasi-regular
sequences and optimal schedules for security games; ISBN
978-1-6119-7503-1; Proceedings of the Twenty-Ninth Annual ACM-SIAM
Symposium on Discrete Algorithms; Society for Industrial and Applied
Mathematics: Philadelphia, PA; 1625-1644; 10.1137/1.9781611975031.106
- Hann-Caruthers, Wade; Martynov, Vadim V.; et al. (2018) The
speed of sequential asymptotic learning; Journal of Economic Theory;
Vol. 173; 383-409; 10.1016/j.jet.2017.11.009
- Simon, Barry (2018) Tosio
Kato’s Work on Non-Relativistic Quantum Mechanics: A Brief Report;
IAMP News Bulletin; 6-25
- Frank, Rupert L. and Lieb, Elliott H. (2018) A
“Liquid-Solid” Phase Transition in a Simple Model for Swarming, Based on
the “No Flat-Spots” Theorem for Subharmonic Functions; Indiana
University Mathematics Journal; Vol. 67; No. 4; 1547-1569; 10.1512/iumj.2018.67.7398
- Angel, Omer and Hutchcroft, Tom (2018) Counterexamples
for percolation on unimodular random graphs; ISBN 978-1-4704-3914-9;
Unimodularity in randomly generated graphs; American Mathematical
Society: Providence, RI; 11-28; 10.1090/conm/719/14465
- Eischen, Ellen; Fintzen, Jessica; et al. (2018) Differential
operators and families of automorphic forms on unitary groups of
arbitrary signature; Documenta Mathematica; Vol. 23; 445-495; 10.25537/dm.2018v23.445-495
- Bukh, Boris and Conlon, David (2018) Rational
exponents in extremal graph theory; Journal of the European
Mathematical Society; Vol. 20; No. 7; 1747-1757; 10.4171/jems/798
- Heydeman, Matthew; Marcolli, Matilde; et al. (2018) Tensor
networks, p-adic fields, and algebraic curves: arithmetic and the
AdS_3/CFT_2 correspondence; Advances in Theoretical and Mathematical
Physics; Vol. 22; No. 1; 93-176; 10.4310/ATMP.2018.v22.n1.a4
- Flach, Matthias and Baptiste, Morin (2018) Weil-Étale
Cohomology and Zeta-Values of Proper Regular Arithmetic Schemes;
Documenta Mathematica; Vol. 23; 1425-1560; 10.25537/dm.2018v23.1425-1560
- Puhalskii, A. and Simon, Barry (2017) A
large-population limit for a Markovian model of group-structured
populations; 10.48550/arXiv.1712.09119
- Marcolli, Matilde (2017) Motivic
Information; 10.48550/arXiv.1712.08703
- Fathizadeh, Farzad and Marcolli, Matilde (2017) Periods
and motives in the spectral action of Robertson-Walker spacetimes;
Communications in Mathematical Physics; Vol. 356; No. 2; 641-671; 10.1007/s00220-017-2991-x
- Frank, Rupert L. and Sabin, Julien (2017) Restriction
theorems for orthonormal functions, Strichartz inequalities, and uniform
Sobolev estimates; American Journal of Mathematics; Vol. 139; No. 6;
1649-1691; 10.1353/ajm.2017.0041
- Böttcher, Albrecht; Simon, Barry; et al. (2017) Similarity
Between Two Projections; Integral Equations and Operator Theory;
Vol. 89; No. 4; 507-518; 10.1007/s00020-017-2414-6
- Gukov, Sergei (2017) Trisecting
non-Lagrangian theories; Journal of High Energy Physics; Vol. 2017;
No. 11; Art. No. 178; 10.1007/JHEP11(2017)178
- Isett, Philip (2017) Nonuniqueness
and existence of continuous, globally dissipative Euler flows; 10.48550/arXiv.1710.11186
- Park, Jeong Joon; Boettcher, Ronnel; et al. (2017) Prevalence
and recoverability of syntactic parameters in sparse distributed
memories; ISBN 978-3-319-68444-4; Geometric Science of Information.
GSI 2017; Springer: Cham, Switzerland; 265-272; 10.1007/978-3-319-68445-1_31
- Simon, Barry (2017) Tosio
Kato’s Work on Non-Relativistic Quantum Mechanics: An Outline; 10.48550/arXiv.1710.06999
- Ormerod, Chris M. and Rains, Eric M. (2017) An
Elliptic Garnier System; Communications in Mathematical Physics;
Vol. 355; No. 2; 741-766; 10.1007/s00220-017-2934-6
- Hutchcroft, Tom and Peres, Yuval (2017) Boundaries
of planar graphs: a unified approach; Electronic Journal of
Probability; Vol. 22; Art. No. 100; 10.1214/17-ejp116
- Gukov, Sergei and Pei, Du (2017) Equivariant
Verlinde formula from fivebranes and vortices; Communications in
Mathematical Physics; Vol. 355; No. 1; 1-50; 10.1007/s00220-017-2931-9
- Kapustin, Anton and Thorngren, Ryan (2017) Fermionic
SPT phases in higher dimensions and bosonization; Journal of High
Energy Physics; Vol. 2017; No. 10; Art. No. 080; 10.1007/JHEP10(2017)080
- Frank, Rupert L. and Simon, Barry (2017) Eigenvalue
bounds for Schrödinger operators with complex potentials. II;
Journal of Spectral Theory; Vol. 7; No. 3; 633-658; 10.4171/JST/173
- Bao, Ning and Ooguri, Hirosi (2017) Distinguishability
of black hole microstates; Physical Review D; Vol. 96; No. 6; Art.
No. 066017; 10.1103/PhysRevD.96.066017
- Frank, Rupert L. and Sabin, Julien (2017) Spectral
cluster bounds for orthonormal systems and oscillatory integral
operators in Schatten spaces; Advances in Mathematics; Vol. 317;
157-192; 10.1016/j.aim.2017.06.023
- Simon, Barry (2017) Unitaries
permuting two orthogonal projections; Linear Algebra and its
Applications; Vol. 528; 436-441; 10.1016/j.laa.2017.03.026
- Burton, Peter J. and Kechris, Alexander S. (2017) Invariant
random subgroups and action versus representation maximality;
Proceedings of the American Mathematical Society; Vol. 145; No. 9;
3961-3971; 10.1090/proc/13591
- Ni, Yi (2017) Virtual
Betti numbers and virtual symplecticity of 4-dimensional mapping tori,
II; Science China Mathematics; Vol. 60; No. 9; 1591-1598; 10.1007/s11425-016-9052-8
- Kapustin, Anton; Turzillo, Alex; et al. (2017) Topological
Field Theory and Matrix Product States; Physical Review B; Vol. 96;
No. 7; Art. No. 075125; 10.1103/PhysRevB.96.075125
- Marcolli, Matilde and Zhi, Ren (2017) q-deformations
of statistical mechanical systems and motives over finite fields;
p-Adic Numbers, Ultrametric Analysis and Applications; Vol. 9; No. 3;
204-227; 10.1134/S2070046617030049
- Aigner-Horev, Elad; Conlon, David; et al. (2017) Quasirandomness
in hypergraphs; Electronic Notes in Discrete Mathematics; Vol. 61;
13-19; 10.1016/j.endm.2017.06.015
- Conlon, David and Lee, Joonkyung (2017) Finite
reflection groups and graph norms; Advances in Mathematics; Vol.
315; 130-165; 10.1016/j.aim.2017.05.009
- Kapustin, Anton and Thorngren, Ryan (2017) Higher
symmetry and gapped phases of gauge theories; ISBN
978-3-319-59938-0; Algebra, Geometry, and Physics in the 21st Century;
Birkhäuser Verlag: Cham, Switzerland; 177-202; 10.1007/978-3-319-59939-7_5
- Ooguri, Hirosi and Spodyneiko, Lev (2017) New
Kaluza-Klein Instantons and Decay of AdS Vacua; Physical Review D;
Vol. 96; No. 2; Art. No. 026016; 10.1103/PhysRevD.96.026016
- Frank, Rupert L. (2017) Eigenvalue
bounds for Schrödinger operators with complex potentials. III;
Transactions of the American Mathematical Society; Vol. 370; 219-240; 10.1090/tran/6936
- Atiyah, Michael and Marcolli, Matilde (2017) Anyons
in Geometric Models of Matter; Journal of High Energy Physics; Vol.
2017; No. 07; Art. No. 076; 10.1007/JHEP07(2017)076
- Gukov, Sergei; Putrov, Pavel; et al. (2017) Fivebranes
and 3-manifold homology; Journal of High Energy Physics; Vol. 2017;
No. 07; Art. No. 071; 10.1007/JHEP07(2017)071
- Bowen, Lewis; Hartman, Yair; et al. (2017) Generic
Stationary Measures and Actions; Transactions of the American
Mathematical Society; Vol. 369; No. 7; 4889-4929; 10.1090/tran/6803
- Ooguri, Hirosi and Vafa, Cumrun (2017) Non-supersymmetric
AdS and the Swampland; Advances in Theoretical and Mathematical
Physics; Vol. 21; No. 7; 1787-1801; 10.4310/ATMP.2017.v21.n7.a8
- Gukov, Sergei; Liu, Chiu-Chu Melissa; et al. (2017) On
topological approach to local theory of surfaces in Calabi–Yau
threefolds; Advances in Theoretical and Mathematical Physics; Vol.
21; No. 7; 1679-1728; 10.4310/ATMP.2017.v21.n7.a4
- Gubser, Steven S.; Heydeman, Matthew; et al. (2017) Edge
length dynamics on graphs with applications to p-adic AdS/CFT;
Journal of High Energy Physics; Vol. 2017; No. 6; 1-35; 10.1007/JHEP06(2017)157
- Mossel, Elchanan and Tamuz, Omer (2017) Opinion
Exchange Dynamics; Probability Surveys; Vol. 14; 155-204; 10.1214/14-PS230
- Isett, Philip (2017) On
the Endpoint Regularity in Onsager’s Conjecture; 10.48550/arXiv.1706.01549
- Hutchcroft, Tom and Nachmias, Asaf (2017) Indistinguishability
of trees in uniform spanning forests; Probability Theory and Related
Fields; Vol. 168; No. 1-2; 113-152; 10.1007/s00440-016-0707-3
- Frank, Rupert L. and Lieb, Elliott H. (2017) Norms
of quantum Gaussian multi-mode channels; Journal of Mathematical
Physics; Vol. 58; No. 6; Art. No. 062204; 10.1063/1.4989809
- Gukov, Sergei (2017) RG
Flows and Bifurcations; Nuclear Physics B; Vol. 919; 583-638; 10.1016/j.nuclphysb.2017.03.025
- Simon, Barry (2017) Ratio
asymptotics and weak asymptotic measures for orthogonal polynomials on
the real line; Journal of Approximation Theory; Vol. 126; No. 2;
198-217; 10.1016/j.jat.2003.12.002
- Conlon, David; Dellamonica, Domingos; et al. (2017) A
Note on Induced Ramsey Numbers; ISBN 9783319444789; A Journey
Through Discrete Mathematics; Springer International Publishing: Cham,
Switzerland; 357-366; 10.1007/978-3-319-44479-6_13
- Ormerod, Christopher M. and Rains, Eric (2017) A
symmetric difference-differential Lax pair for Painlevé VI; Journal
of Integrable Systems; Vol. 2; No. 1; 1-20; 10.1093/integr/xyx003
- Dedushenko, Mykola; Gukov, Sergei; et al. (2017) Vertex
algebras and 4-manifold invariants; 10.48550/arXiv.1705.01645
- Frank, Rupert L. and Schimmer, Lukas (2017) Endpoint
resolvent estimates for compact Riemannian manifolds; Journal of
Functional Analysis; Vol. 272; No. 9; 3904-3918; 10.1016/j.jfa.2016.11.012
- Simon, Barry (2017) A
Cayley-Hamiltonian Theorem for Periodic Finite Band Matrices; ISBN
978-3-03719-175-0; Functional analysis and operator theory for quantum
physics : Pavel Exner anniversary volume; EMS Publishing House: Zurich,
Switzerland; 525-529; 10.4171/175-1/25
- Conlon, David; Ferber, Asaf; et al. (2017) Almost-spanning
universality in random graphs; Random Structures & Algorithms;
Vol. 50; No. 3; 380-393; 10.1002/rsa.20661
- Frank, Rupert L. (2017) Eigenvalues
of Schrödinger operators with complex surface potentials; ISBN
978-3-03719-175-0; Functional Analysis and Operator Theory for Quantum
Physics: The Pavel Exner Anniversary Volume; 245-259; 10.4171/175
- Isett, Philip and Oh, Sung-Jin (2017) On
the kinetic energy profile of Hölder continuous Euler flows; Annales
de l’Institut Henri Poincare (C) Non Linear Analysis; Vol. 34; No. 3;
711-730; 10.1016/j.anihpc.2016.05.002
- Gaiotto, Davide; Kapustin, Anton; et al. (2017) Theta,
time reversal and temperature; Journal of High Energy Physics; Vol.
2017; No. 5; Art. No. 091; 10.1007/JHEP05(2017)091
- Christiansen, Jacob S.; Simon, Barry; et al. (2017) Asymptotics
of Chebyshev polynomials, I: subsets of ℝ; Inventiones Mathematicae;
Vol. 208; No. 1; 217-245; 10.1007/s00222-016-0689-x
- Frank, Rupert L.; Lemm, Marius; et al. (2017) Condensation
of fermion pairs in a domain; Calculus of Variations and Partial
Differential Equations; Vol. 56; Art. No. 54; 10.1007/s00526-017-1140-x
- Marcolli, Matilde and Xu, Yujie (2017) Quantum
statistical mechanics in arithmetic topology; Journal of Geometry
and Physics; Vol. 114; 153-183; 10.1016/j.geomphys.2016.11.029
- Behrndt, Jussi; Frank, Rupert L.; et al. (2017) Spectral
Theory for Schrödinger Operators with δ-Interactions Supported on Curves
in R³; Annales Henri Poincaré; Vol. 18; No. 4; 1305-1347; 10.1007/s00023-016-0532-3
- Bhardwaj, Lakshya; Gaiotto, Davide; et al. (2017) State
sum constructions of spin-TFTs and string net constructions of fermionic
phases of matter; Journal of High Energy Physics; Vol. 2017; No. 4;
Art. No. 096; 10.1007/JHEP04(2017)096
- Conlon, David and Zhao, Yufei (2017) Quasirandom
Cayley graphs; Discrete Analysis; Art. No. 6; 10.19086/da.1294
- Biringer, Ian; Bowen, Lewis; et al. (2017) Invariant
random subgroups of semidirect products; 10.48550/arXiv.1703.01282
- Conlon, David (2017) A
Sequence of Triangle-Free Pseudorandom Graphs; Combinatorics,
Probability and Computing; Vol. 26; No. 2; 195-200; 10.1017/s0963548316000298
- Kapustin, Anton and Turzillo, Alex (2017) Equivariant
Topological Quantum Field Theory and Symmetry Protected Topological
Phases; Journal of High Energy Physics; Vol. 2017; No. 03; Art.
No. 006; 10.1007/JHEP03(2017)006
- Conlon, D. and Gowers, W. T. (2017) Freiman
homomorphisms on sparse random sets; Quarterly Journal of
Mathematics; Vol. 68; No. 1; 275-300; 10.1093/qmath/haw058
- Marcolli, Matilde (2017) Spectral
action gravity and cosmological models; Comptes Rendus Physique;
Vol. 18; No. 3-4; 226-234; 10.1016/j.crhy.2017.03.001
- Shu, Kevin and Marcolli, Matilde (2017) Syntactic
Structures and Code Parameters; Mathematics in Computer Science;
Vol. 11; No. 1; 79-90; 10.1007/s11786-017-0298-0
- Ni, Yi and Zhang, Xingru (2017) Detection
of knots and a cabling formula for A-polynomials; Algebraic and
Geometric Topology; Vol. 17; No. 1; 65-109; 10.2140/agt.2017.17.65
- Ni, Yi (2017) Fintushel-Stern
knot surgery in torus bundles; Journal of Topology; Vol. 10; No. 1;
164-177; 10.1112/topo.12002
- Marcolli, Matilde (2017) Noncommutative
geometry and particle physics [Book Review]; Bulletin of the
American Mathematical Society; Vol. 54; No. 1; 167-169; 10.1090/bull/1555
- Conlon, David; Fox, Jacob; et al. (2017) Ordered
Ramsey numbers; Journal of Combinatorial Theory, Series B; Vol. 122;
353-383; 10.1016/j.jctb.2016.06.007
- Gomis, Jaume; Komargodski, Zohar; et al. (2017) Shortening
Anomalies in Supersymmetric Theories; Journal of High Energy
Physics; Vol. 2017; No. 01; Art. No. 67; 10.1007/JHEP01(2017)067
- Frank, Rupert L.; Méhats, Florian; et al. (2017) Averaging
of nonlinear Schrödinger equations with strong magnetic confinement;
Communications in Mathematical Sciences; Vol. 15; No. 7; 1933-1945; 10.4310/CMS.2017.v15.n7.a7
- Marcolli, Matilde and Tabuada, Gonçalo (2017) Bost–Connes
systems, categorification, quantum statistical mechanics, and Weil
numbers; Journal of Noncommutative Geometry; Vol. 11; No. 1; 1-49;
10.4171/JNCG/11-1-1
- Frank, Rupert L. and Zhou, Gang (2017) Derivation
of an effective evolution equation for a strongly coupled polaron;
Analysis & PDE; Vol. 10; No. 2; 379-422; 10.2140/apde.2017.10.379
- Frank, Rupert L. (2017) Eigenvalue
bounds for the fractional Laplacian: A review; ISBN 9783110571561;
Recent Developments in Nonlocal Theory; De Gruyter: Berlin; 210-235; 10.1515/9783110571561-007
- Isett, Philip (2017) Hölder
continuous Euler flows in three dimensions with compact support in
time; ISBN 978-0-691-17483-9; 10.48550/arXiv.1211.4065
- Kechris, A. S.; Sokić, M.; et al. (2017) Ramsey
properties of finite measure algebras and topological dynamics of the
group of measure preserving automorphisms: Some results and an open
problem; ISBN 978-1-4704-2256-1; Foundations of Mathematics: Logic
at Harvard: Essays in Honor of W. Hugh Woodin’s 60th Birthday; American
Mathematical Society: Providence, RI; 69-85; 10.1090/conm/690
- Aschbacher, Michael (2017) The
subgroup structure of finite groups; ISBN 978-1-4704-3678-0; Finite
Simple Groups: Thirty Years of the Atlas and Beyond; American
Mathematical Society: Providence, RI; 111-121; 10.1090/conm/694/13959
- Marcolli, Matilde and Seipp, Kyle (2017) Twisted
index theory on orbifold symmetric products and the fractional quantum
Hall effect; Advances in Theoretical and Mathematical Physics; Vol.
21; No. 2; 451-501; 10.4310/ATMP.2017.v21.n2.a3
- Yu, Tony Yue (2016) Enumeration
of holomorphic cylinders in log Calabi–Yau surfaces. I;
Mathematische Annalen; Vol. 366; No. 3-4; 1649-1675; 10.1007/s00208-016-1376-3
- Lashkari, Nima; Lin, Jennifer; et al. (2016) Gravitational
Positive Energy Theorems from Information Inequalities; Progress of
Theoretical and Experimental Physics; Vol. 2016; No. 12; Art.
No. 12C109; 10.1093/ptep/ptw139
- Manin, Yuri I. and Marcolli, Matilde (2016) Semantic
Spaces; Mathematics in Computer Science; Vol. 10; No. 4; 459-477; 10.1007/s11786-016-0278-9
- Gadde, Abhijit; Gukov, Sergei; et al. (2016) Fivebranes
and 4-Manifolds; ISBN 978-3-319-43646-3; Arbeitstagung Bonn 2013;
Springer: New York, NY; 155-245; 10.1007/978-3-319-43648-7_7
- Ormerod, Christopher M. and Rains, Eric M. (2016) Commutation
Relations and Discrete Garnier Systems; Symmetry, Integrability and
Geometry: Methods and Applications (SIGMA); Vol. 12; Art. No. 110; 10.3842/SIGMA.2016.110
- Conlon, David; Fox, Jacob; et al. (2016) Short
proofs of some extremal results II; Journal of Combinatorial Theory,
Series B; Vol. 121; 173-196; 10.1016/j.jctb.2016.03.005
- Hutchcroft, Tom (2016) Wired
cycle-breaking dynamics for uniform spanning forests; Annals of
Probability; Vol. 44; No. 6; 3879-3892; 10.1214/15-AOP1063
- Biringer, Ian and Tamuz, Omer (2016) Unimodularity
of Invariant Random Subgroups; Transactions of the American
Mathematical Society; Vol. 369; 4043-4061; 10.1090/tran/6755
- Porta, Mauro and Yu, Tony Yue (2016) Higher
analytic stacks and GAGA theorems; Advances in Mathematics; Vol.
302; 351-409; 10.1016/j.aim.2016.07.017
- Gaiotto, Davide and Kapustin, Anton (2016) Spin
TQFTs and fermionic phases of matter; International Journal of
Modern Physics A; Vol. 31; No. 28-29; Art. No. 1645044; 10.1142/S0217751X16450445
- Nakayama, Yu and Ooguri, Hirosi (2016) Bulk
Local States and Crosscaps in Holographic CFT; Journal of High
Energy Physics; Vol. 2016; No. 10; Art. No. 085; 10.1007/JHEP10(2016)085
- Etingof, Pavel and Rains, Eric (2016) On
Cohen–Macaulayness of Algebras Generated by Generalized Power Sums;
Communications in Mathematical Physics; Vol. 347; No. 1; 163-182; 10.1007/s00220-016-2657-0
- Frank, Rupert L.; Laptev, Ari; et al. (2016) On
the number of eigenvalues of Schrödinger operators with complex
potentials; Journal of the London Mathematical Society; Vol. 94;
No. 2; 377-390; 10.1112/jlms/jdw039
- Hartman, Yair and Tamuz, Omer (2016) Stabilizer
rigidity in irreducible group actions; Israel Journal of
Mathematics; Vol. 216; No. 2; 679-705; 10.1007/s11856-016-1424-4
- Angel, Omer; Hutchcroft, Tom; et al. (2016) Unimodular
hyperbolic triangulations: circle packing and random walk;
Inventiones Mathematicae; Vol. 206; No. 1; 229-268; 10.1007/s00222-016-0653-9
- Mossel, Elchanan; Olsman, Noah; et al. (2016) Efficient
Bayesian Learning in Social Networks with Gaussian Estimators; ISBN
978-1-5090-4551-8; 54th Annual Allerton Conference on Communication,
Control, and Computing (Allerton), 2016; IEEE: Piscataway, NJ; 425-432;
10.1109/ALLERTON.2016.7852341
- Caraiani, Ana; Eischen, Ellen; et al. (2016) p-adic
q-expansion principles on unitary Shimura varieties; ISBN
978-3-319-30974-3; Directions in Number Theory; Springer: Cham; 197-243;
10.1007/978-3-319-30976-7_7
- Isett, Philip and Oh, Sung-Jin (2016) A
heat flow approach to Onsager’s conjecture for the Euler equations on
manifolds; Transactions of the American Mathematical Society; Vol.
368; No. 9; 6519-6537; 10.1090/tran/6549
- Conlon, D. and Gowers, W. T. (2016) Combinatorial
theorems in sparse random sets; Annals of Mathematics; Vol. 184;
No. 2; 367-454; 10.4007/annals.2016.184.2.2
- Hutchcroft, Tom (2016) Critical
percolation on any quasi-transitive graph of exponential growth has no
infinite clusters; Comptes Rendus Mathematique; Vol. 354; No. 9;
944-947; 10.1016/j.crma.2016.07.013
- Frank, Rupert L. and Lemm, Marius (2016) Multi-Component
Ginzburg-Landau Theory: Microscopic Derivation and Examples; Annales
Henri Poincaré; Vol. 17; No. 9; 2285-2340; 10.1007/s00023-016-0473-x
- Frank, Rupert L.; Lenzmann, Enno; et al. (2016) Uniqueness
of Radial Solutions for the Fractional Laplacian; Communications on
Pure and Applied Mathematics; Vol. 69; No. 9; 1671-1726; 10.1002/cpa.21591
- Daigle, Jay and Flach, Matthias (2016) On
the local Tamagawa number conjecture for Tate motives over tamely
ramified fields; Algebra and Number Theory; Vol. 10; No. 6;
1221-1275; 10.2140/ant.2016.10.1221
- Wales, David B. (2016) Classification
of Imprimitive Irreducible Finite Sugroups of O(7); 10.48550/arXiv.1608.07543
- Andersen, Jørgen Ellegaard; Gukov, Sergei; et al. (2016) The
Verlinde formula for Higgs bundles; 10.48550/arXiv.1608.01761
- Frank, Rupert L.; Killip, Rowan; et al. (2016) Nonexistence
of Large Nuclei in the Liquid Drop Model; Letters in Mathematical
Physics; Vol. 106; No. 8; 1033-1036; 10.1007/s11005-016-0860-8
- Isett, Philip and Oh, Sung-Jin (2016) On
Nonperiodic Euler Flows with Hölder Regularity; Archive for Rational
Mechanics and Analysis; Vol. 221; No. 2; 725-804; 10.1007/s00205-016-0973-3
- Rains, Eric M. (2016) The
noncommutative geometry of elliptic difference equations; 10.48550/arXiv.1607.08876
- Frank, Rupert L. and Lieb, Elliott H. (2016) A
‘liquid-solid’ phase transition in a simple model for swarming, based on
the ‘no flat-spots’ theorem for subharmonic functions; 10.48550/arXiv.1607.07971
- Frank, Rupert L.; Hainzl, Christian; et al. (2016) Incompatibility
of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau
Equations; Letters in Mathematical Physics; Vol. 106; No. 7;
913-923; 10.1007/s11005-016-0847-5
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2016) Maximizers
for the Stein–Tomas Inequality; Geometric and Functional Analysis;
Vol. 26; No. 4; 1095-1134; 10.1007/s00039-016-0380-9
- Manin, Yuri I. and Marcolli, Matilde (2016) Moduli
Operad over F_1; ISBN 978-3-03719-157-6; Absolute arithmetic and
F1-geometry; European Mathematical Society: Zürich; 331-361; 10.4171/157-1/7
- Aschbacher, Michael and Oliver, Bob (2016) Fusion
systems; Bulletin of the American Mathematical Society; Vol. 53;
No. 4; 555-615; 10.1090/bull/1538
- Macdonald, Henry L. and Kechris, Alexander S. (2016) Borel
equivalence relations and cardinal algebras; Fundamenta
Mathematicae; Vol. 235; 183-198; 10.4064/fm242-4-2016
- Burnell, Fiona; Chen, Xie; et al. (2016) Time
reversal invariant gapped boundaries of the double semion state;
Physical Review B; Vol. 93; No. 23; Art. No. 235161; 10.1103/PhysRevB.93.235161
- Marcolli, Matilde and Zolman, Nick (2016) Adinkras,
Dessins, Origami, and Supersymmetry Spectral Triples; 10.48550/arXiv.1606.04463
- Ball, Adam and Marcolli, Matilde (2016) Spectral
Action Models of Gravity on Packed Swiss Cheese Cosmology; Classical
and Quantum Gravity; Vol. 33; No. 11; Art. No. 115018; 10.1088/0264-9381/33/11/115018
- Gukov, Sergei; Marino, Marcos; et al. (2016) Resurgence
in complex Chern-Simons theory; 10.48550/arXiv.1605.07615
- Babichenko, Yakov and Tamuz, Omer (2016) Graphical
potential games; Journal of Economic Theory; Vol. 163; 889-899; 10.1016/j.jet.2016.03.010
- Frisch, Joshua and Tamuz, Omer (2016) Transitive
graphs uniquely determined by their local structure; Proceedings of
the American Mathematical Society; Vol. 144; No. 5; 1913-1918; 10.1090/proc/12901
- Marcolli, Matilde (2016) Syntactic
Parameters and a Coding Theory Perspective on Entropy and Complexity of
Language Families; Entropy; Vol. 18; No. 4; Art. No. 110; 10.3390/e18040110
- Marcolli, Matilde (2016) Information
Algebras and Their Applications; ISBN 978-3-319-25039-7; Geometric
Science of Information; Springer: Cham; 271-276; 10.1007/978-3-319-25040-3_30
- Chung, Hee-Joong; Dimofte, Tudor; et al. (2016) 3d-3d
Correspondence Revisited; Journal of High Energy Physics; Vol. 2016;
No. 4; Art. No. 140; 10.1007/JHEP04(2016)140
- Kim, Hyungrok; Kravchuk, Petr; et al. (2016) Reflections
on Conformal Spectra; Journal of High Energy Physics; Vol. 2016;
No. 4; Art. No. 184; 10.1007/JHEP04(2016)184
- Burton, Peter; Lupini, Martino; et al. (2016) Weak
equivalence of stationary actions and the entropy realization
problem; 10.48550/arXiv.1603.05013
- Gukov, Sergei; Nawata, Satoshi; et al. (2016) Sequencing
BPS Spectra; Journal of High Energy Physics; Vol. 2016; No. 03; Art.
No. 004; 10.1007/JHEP03(2016)004
- Aschbacher, Michael (2016) N-groups
and fusion systems; Journal of Algebra; Vol. 449; 264-320; 10.1016/j.jalgebra.2015.10.011
- Elliot, Ross and Gukov, Sergei (2016) Exceptional
knot homology; Journal of Knot Theory and its Ramifications; Vol.
25; No. 3; Art. No. 1640003; 10.1142/S0218216516400034
- Frank, Rupert L. and Geisinger, Leander (2016) Refined
semiclassical asymptotics for fractional powers of the Laplace
operator; Journal für die reine und angewandte Mathematik; Vol.
2016; No. 712; 1-37; 10.1515/crelle-2013-0120
- Carlen, Eric A.; Frank, Rupert L.; et al. (2016) Some
operator and trace function convexity theorems; Linear Algebra and
its Applications; Vol. 490; 174-185; 10.1016/j.laa.2015.11.006
- Conlon, David and Stein, Maya (2016) Monochromatic
Cycle Partitions in Local Edge Colorings; Journal of Graph Theory;
Vol. 81; No. 2; 134-145; 10.1002/jgt.21867
- Conlon, David; Fox, Jacob; et al. (2016) Ramsey
numbers of cubes versus cliques; Combinatorica; Vol. 36; No. 1;
37-70; 10.1007/s00493-014-3010-x
- Frank, Rupert L.; Hainzl, Christian; et al. (2016) The
External Field Dependence of the BCS Critical Temperature;
Communications in Mathematical Physics; Vol. 342; No. 1; 189-216; 10.1007/s00220-015-2526-2
- Wilson, Ryan M.; Shirley, Wilbur E.; et al. (2016) Anomalous
supersolidity in a weakly interacting dipolar Bose mixture on a square
lattice; Physical Review A; Vol. 93; No. 1; Art. No. 011605; 10.1103/PhysRevA.93.011605
- Gukov, Sergei (2016) Counting
RG flows; Journal of High Energy Physics; Vol. 2016; No. 1; Art.
No. 020; 10.1007/JHEP01(2016)020
- Marcinek, J. and Marcolli, M. (2016) KMS
weights on higher rank buildings; P-Adic Numbers, Ultrametric
Analysis, and Applications; Vol. 8; No. 1; 45-67; 10.1134/S2070046616010040
- Bowen, Lewis; Hartman, Yair; et al. (2016) Property
(T) and the Furstenberg Entropy of Nonsingular Actions; Proceedings
of the American Mathematical Society; Vol. 144; No. 1; 31-39; 10.1090/proc/12685
- Frenkel, Edward; Gukov, Sergei; et al. (2016) Surface
operators and separation of variables; Journal of High Energy
Physics; Vol. 2016; No. 1; Art. No. 179; 10.1007/JHEP01(2016)179
- Martin, Kimball and Ramakrishnan, Dinakar (2016) A
comparison of automorphic and Artin L-series of GL(2)-type agreeing at
degree one primes; ISBN 978-1-4704-1709-3; Advances in the theory of
automorphic forms and their L-functions; American Mathematical Society:
Providence, RI; 339-350; 10.48550/arXiv.1502.04175
- Aschbacher, Michael (2016) Daniel
Gorenstein, 1923-1992 - A Biographical Memoir by Michael Aschbacher;
Biographical Memoirs; 1-17
- Kechris, Alexander S.; Martin, Donald A.; et al. (2016) Introduction
to Q-theory; ISBN 9781139519694; Ordinal Definability and Recursion
Theory: The Cabal Seminar; Cambridge University Press: Cambridge;
126-199; 10.1017/CBO9781139519694.006
- Gukov, Sergei and Saberi, Ingmar (2016) Lectures
on Knot Homology and Quantum Curves; ISBN 978-1-4704-1459-7; Physics
and Mathematics of Link Homology; American Mathematical Society:
Providence, RI; 59-97; 10.1090/conm/680/13700
- Marcolli, Matilde and Tabuada, Gonçalo (2016) Noncommutative
numerical motives, Tannakian structures, and motivic Galois groups;
Journal of the European Mathematical Society; Vol. 18; No. 3; 623-655;
10.4171/JEMS/598
- Kechris, Alexander S. (2016) On
Spector classes; ISBN 9781139519694; Ordinal Definability and
Recursion Theory: The Cabal Seminar; Cambridge University Press:
Cambridge; 390-423; 10.1017/CBO9781139519694.013
- Kechris, Alexander S. and Martin, Donald A. (2016) On
the theory of Π13 sets of reals, II; ISBN 9781139519694; Ordinal
Definability and Recursion Theory: The Cabal Seminar; Cambridge
University Press: Cambridge; 200-219; 10.1017/CBO9781139519694.007
- Kechris, Alexander S.; Löwe, Benedikt; et al. (2016) Ordinal
Definability and Recursion Theory: The Cabal Seminar; ISBN
9781139519694; 10.1017/CBO9781139519694
- Aschbacher, Michael (2016) Overgroups
of Root Groups in Classical Groups; ISBN 978-1-4704-1845-8;
Overgroups of root groups in classical groups; American Mathematical
Society: Providence, RI; 10.1090/memo/1140
- Kechris, Alexander S.; Löwe, Benedikt; et al. (2016) Preface;
ISBN 9781139519694; Ordinal Definability and Recursion Theory: The Cabal
Seminar; Cambridge University Press: Cambridge; vii-x; 10.1017/CBO9781139519694.001
- Marcolli, Matilde and Ni, Xiang (2016) Rota-Baxter
algebras, singular hypersurfaces, and renormalization on Kausz
compactifications; Journal of Singularities; Vol. 15; 80-117; 10.5427/jsing.2016.15e
- Frank, Rupert L. and Sabin, Julien (2016) The
Stein-Tomas inequality in trace ideals; Séminaire Laurent Schwartz -
EDP et applications; Vol. 15; Art. No. 12; 10.5802/slsedp.92
- Kapustin, Anton; Thorngren, Ryan; et al. (2015) Fermionic
Symmetry Protected Topological Phases and Cobordisms; Journal of
High Energy Physics; Vol. 2015; No. 12; Art. No. 052; 10.1007/JHEP12(2015)052
- Marcolli, Matilde and Port, Alexander (2015) Graph
Grammars, Insertion Lie Algebras, and Quantum Field Theory;
Mathematics in Computer Science; Vol. 9; No. 4; 391-408; 10.1007/s11786-015-0236-y
- Isett, Philip and Vicol, Vlad (2015) Hölder
Continuous Solutions of Active Scalar Equations; Annals of PDE; Vol.
1; No. 1; Art. No. 2; 10.1007/s40818-015-0002-0
- Yu, Tony Yue (2015) Tropicalization
of the moduli space of stable maps; Mathematische Zeitschrift; Vol.
281; No. 3-4; 1035-1059; 10.1007/s00209-015-1519-3
- Frank, Rupert L. and Lieb, Elliott H. (2015) A
Compactness Lemma and Its Application to the Existence of Minimizers for
the Liquid Drop Model; SIAM Journal on Mathematical Analysis; Vol.
47; No. 6; 4436-4450; 10.1137/15M1010658
- Gukov, Sergei (2015) Surface
Operators; ISBN 978-3-319-18768-6; New Dualities of Supersymmetric
Gauge Theories; Springer: Cham, Switzerland; 223-259; 10.1007/978-3-319-18769-3_8
- Conlon, David; Fox, Jacob; et al. (2015) Hedgehogs
are not colour blind; 10.48550/arXiv.1511.00563
- Conlon, David; Ferber, Asaf; et al. (2015) Almost-spanning
universality in random graphs (Extended abstract); Electronic Notes
in Discrete Mathematics; Vol. 49; 203-211; 10.1016/j.endm.2015.06.030
- Marcolli, Matilde and Tedeschi, Nicolas (2015) Entropy
algebras and Birkhoff factorization; Journal of Geometry and
Physics; Vol. 97; 243-265; 10.1016/j.geomphys.2015.07.018
- Dasu, Shival and Marcolli, Matilde (2015) Potts
models with magnetic field: Arithmetic, geometry, and computation;
Journal of Geometry and Physics; Vol. 97; 14-24; 10.1016/j.geomphys.2015.06.018
- Nakayama, Yu and Ooguri, Hirosi (2015) Bulk
Locality and Boundary Creating Operators; Journal of High Energy
Physics; Vol. 2015; No. 10; Art. No. 114; 10.1007/JHEP10(2015)114
- Ni, Yi and Wu, Zhongtao (2015) Correction
terms, Z_2-Thurston norm, and triangulations; Topology and Its
Applications; Vol. 194; 409-426; 10.1016/j.topol.2015.09.002
- Fan, Wentao; Fathizadeh, Farzad; et al. (2015) Spectral
Action for Bianchi Type-IX Cosmological Models; Journal of High
Energy Physics; Vol. 2015; No. 10; Art. No. 085; 10.1007/JHEP10(2015)085
- Frank, R. L.; Hainzi, C.; et al. (2015) Microscopic
Derivation of the Ginzburg-Landau Model; 10.48550/arXiv.1209.1080
- Yu, Tony Yue (2015) Balancing
conditions in global tropical geometry; Annales de l’Institut
Fourier; Vol. 65; No. 4; 1647-1667; 10.5802/aif.2970
- Bao, Ning; Nezami, Sepehr; et al. (2015) The
Holographic Entropy Cone; Journal of High Energy Physics; Vol. 2015;
No. 9; Art. No. 130; 10.1007/JHEP09(2015)130
- Okounkov, Andrei and Rains, Eric (2015) Noncommutative
geometry and Painlevé equations; Algebra and Number Theory; Vol. 9;
No. 6; 1363-1400; 10.2140/ant.2015.9.1363
- Hutchcroft, Tom and Peres, Yuval (2015) Collisions
of random walks in reversible random graphs; Electronic
Communications in Probability; Vol. 20; Art. No. 4330; 10.1214/ecp.v20-4330
- Ni, Yi and Wu, Zhongtao (2015) Cosmetic
surgeries on knots in S^3; Journal Für Reine und Angewandte
Mathematik; Vol. 2015; No. 706; 1-17; 10.1515/crelle-2013-0067
- Conlon, David; Fox, Jacob; et al. (2015) On
the Grid Ramsey Problem and Related Questions; International
Mathematics Research Notices; Vol. 2015; No. 17; 8052-8084; 10.1093/imrn/rnu190
- Mossel, Elchanan; Sly, Allan; et al. (2015) Strategic
Learning and the Topology of Social Networks; Econometrica; Vol. 83;
No. 5; 1755-1794; 10.3982/ECTA12058
- Conlon, David (2015) Rational
exponents in extremal graph theory; 10.14288/1.0228183
- Frank, Rupert L. and Geisinger, Leander (2015) The
Ground State Energy of a Polaron in a Strong Magnetic Field;
Communications in Mathematical Physics; Vol. 338; No. 1; 1-29; 10.1007/s00220-015-2367-z
- Chun, Sungbong; Gukov, Sergei; et al. (2015) Junctions
of surface operators and categorification of quantum groups; 10.48550/arXiv.1507.06318
- Bhargava, Manjul; Kane, Daniel M.; et al. (2015) Modeling
the distribution of ranks, Selmer groups, and Shafarevich–Tate groups of
elliptic curves; Cambridge Journal of Mathematics; Vol. 3; No. 3;
275-321; 10.4310/CJM.2015.v3.n3.a1
- Buckmaster, Tristan; De Lellis, Camillo; et al. (2015) Anomalous
dissipation for 1/5-Hölder Euler flows; Annals of Mathematics; Vol.
182; No. 1; 127-172; 10.4007/annals.2015.182.1.3
- Conlon, David; Fox, Jacob; et al. (2015) Recent
developments in graph Ramsey theory; ISBN 9781316106853; Surveys in
Combinatorics 2015; Cambridge University Press: Cambridge, United
Kingdom; 49-118; 10.1017/cbo9781316106853.003
- Ekholm, Tomas; Frank, Rupert L.; et al. (2015) Weak
perturbations of the p-Laplacian; Calculus of Variations and Partial
Differential Equations; Vol. 53; No. 3-4; 781-801; 10.1007/s00526-014-0767-0
- Frank, Rupert L. and Pushnitski, Alexander (2015) The
spectral density of a product of spectral projections; Journal of
Functional Analysis; Vol. 268; No. 12; 3867-3894; 10.1016/j.jfa.2015.03.018
- Rains, Eric M. and Warnaar, S. Ole (2015) Bounded
Littlewood identities; 10.48550/arXiv.1506.02755
- Lin, Jennifer; Marcolli, Matilde; et al. (2015) Locality
of Gravitational Systems from Entanglement of Conformal Field
Theories; Physical Review Letters; Vol. 114; No. 22; Art.
No. 221601; 10.1103/PhysRevLett.114.221601
- Conlon, David; Fox, Jacob; et al. (2015) A
relative Szemerédi theorem; Geometric and Functional Analysis; Vol.
25; No. 3; 733-762; 10.1007/s00039-015-0324-9
- van de Bult, Fokko J. and Rains, Eric M. (2015) Limits
of elliptic hypergeometric biorthogonal functions; Journal of
Approximation Theory; Vol. 193; 128-163; 10.1016/j.jat.2014.06.009
- Manin, Yuri I. and Marcolli, Matilde (2015) Symbolic
Dynamics, Modular Curves, and Bianchi IX Cosmologies; 10.48550/arXiv.1504.04005
- Marcolli, Matilde and Tabuada, Gonçalo (2015) From
exceptional collections to motivic decompositions via noncommutative
motives; Journal Für Die Reine und Angewandte Mathematik; Vol. 2015;
No. 701; 153-167; 10.1515/crelle-2013-0027
- Hartman, Yair and Tamuz, Omer (2015) Furstenberg
entropy realizations for virtually free groups and lamplighter
groups; Journal d’Analyse Mathématique; Vol. 126; No. 1; 227-257; 10.1007/s11854-015-0016-2
- Frank, Rupert L. and Pushnitski, Alexander (2015) Trace
Class Conditions for Functions of Schrödinger Operators;
Communications in Mathematical Physics; Vol. 335; No. 1; 477-496; 10.1007/s00220-014-2205-8
- Frank, Rupert L. and Lenzmann, Enno (2015) Uniqueness
and Nondegeneracy of Ground States for (−Δ)sQ+Q−Q(α+1)=0 in
R; 10.48550/arXiv.1009.4042
- Frisch, Joshua and Tamuz, Omer (2015) Symbolic
dynamics on amenable groups: the entropy of generic shifts; 10.48550/arXiv.1503.06251
- Conlon, David; Fox, Jacob; et al. (2015) Distinct
Volume Subsets; SIAM Journal on Discrete Mathematics; Vol. 29;
No. 1; 472-480; 10.1137/140954519
- Lo, Catharine Wing Kwan and Marcolli, Matilde (2015) F_ζ-geometry,
Tate motives, and the Habiro ring; International Journal of Number
Theory; Vol. 11; No. 2; 311-339; 10.1142/S1793042115500189
- Krüger, Helge and Simon, Barry (2015) Cantor
polynomials and some related classes of OPRL; Journal of
Approximation Theory; Vol. 191; 71-93; 10.1016/j.jat.2014.04.003
- Marcolli, Matilde and Napp, John (2015) Quantum
Computation and Real Multiplication; Mathematics in Computer
Science; Vol. 9; No. 1; 63-84; 10.1007/s11786-014-0179-8
- Gaiotto, Davide; Kapustin, Anton; et al. (2015) Generalized
global symmetries; Journal of High Energy Physics; Vol. 2015; No. 2;
Art. No. 172; 10.1007/JHEP02(2015)172
- Bengurla, Rafael D.; Frank, Rupert L.; et al. (2015) Ground
state energy of large polaron systems; Journal of Mathematical
Physics; Vol. 56; No. 2; Art. No. 021901; 10.1063/1.4908125
- Tamuz, Omer and Tessler, Ran J. (2015) Majority
Dynamics and the Retention of Information; Israel Journal of
Mathematics; Vol. 206; No. 1; 483-507; 10.1007/s11856-014-1148-2
- Frank, Rupert L.; González, María del Mar; et al. (2015) An
extension problem for the CR fractional Laplacian; Advances in
Mathematics; Vol. 270; 97-137; 10.1016/j.aim.2014.09.026
- Ramakrishnan, Dinakar (2015) A
mild Tchebotarev theorem for GL(n); Journal of Number Theory; Vol.
146; 519-533; 10.1016/j.jnt.2014.08.002
- Guth, Larry and Katz, Nets Hawk (2015) On
the Erdős distinct distances problem in the plane; Annals of
Mathematics; Vol. 181; No. 1; 155-190; 10.4007/annals.2015.181.1.2
- Conlon, David; Fox, Jacob; et al. (2015) The
Erdős-Gyárfás problem on generalized Ramsey numbers; Proceedings of
the London Mathematical Society; Vol. 110; No. 1; 1-18; 10.1112/plms/pdu049
- Katz, Nets and Tapay, Andrew (2015) A
model for studying double exponential growth in the two-dimensional
Euler equations; Analysis & PDE; Vol. 8; No. 7; 1675-1693; 10.2140/apde.2015.8.1675
- Dimitrov, Mladen and Ramakrishnan, Dinakar (2015) Arithmetic
Quotients of the Complex Ball and a Conjecture of Lang; Documenta
Mathematica; Vol. 20; 1185-1205; 10.48550/arXiv.1401.1628
- Delaney, Colleen and Marcolli, Matilde (2015) Dyson-Schwinger
equations in the theory of computation; ISBN 978-1-4704-2247-9;
Feynman Amplitudes, Periods and Motives; American Mathematical Society:
Providence, RI; 79-107; 10.48550/arXiv.1302.5040
- Paranjape, Kapil and Ramakrishnan, Dinakar (2015) Modular
forms and Calabi-Yau varieties; ISBN 9781107462540; Arithmetic and
Geometry; Cambridge University Press: Cambridge; 351-372; 10.1017/CBO9781316106877.019
- Marcolli, Matilde and Tabuada, Gonçalo (2015) Noncommutative
motives and their applications; ISBN 978-1-107-06562-8; Commutative
algebra and noncommutative algebraic geometry; Cambridge University
Press: Cambridge; 191-214; 10.48550/arXiv.1311.2867
- Ramakrishnan, Dinakar (2015) Recovering
Cusp Forms on GL(2) from Symmetric Cubes; ISBN 978-1-4704-1457-3;
SCHOLAR—a Scientific Celebration Highlighting Open Lines of Arithmetic
Research; American Mathematical Society: Providence, RI; 10.1090/conm/655/13205
- Demirel-Frank, Semra (2015) Spectral
Inequalities for Quantum Graphs; ISBN 978-3-319-16618-6;
Mathematical Technology of Networks; Springer: Cham, Switzerland; 65-80;
10.1007/978-3-319-16619-3_6
- Marcolli, Matilde (2015) The
Wolf and the Street: Narrative Encounters with Mathematics; ISBN
978-3-319-01230-8; Imagine Math 3; Springer: New York, NY; 225-234; 10.1007/978-3-319-01231-5_16
- Marcolli, Matilde and Tabuada, Gonçalo (2015) Unconditional
noncommutative motivic Galois groups; ISBN 978-1-4704-0990-6; Hodge
Theory and Classical Algebraic Geometry; American Mathematical Society:
Providence, RI; 109-115; 10.48550/arXiv.1112.5422
- Ni, Yi and Wu, Zhongtao (2014) Heegaard
Floer correction terms and rational genus bounds; Advances in
Mathematics; Vol. 267; 360-380; 10.1016/j.aim.2014.09.006
- Song, Antoine (2014) A
maximum principle for self-shrinkers and some consequences; 10.48550/arXiv.1412.4755
- Conlon, David; Fox, Jacob; et al. (2014) Cycle
packing; Random Structures & Algorithms; Vol. 45; No. 4;
608-626; 10.1002/rsa.20574
- Bellazzini, Jacopo; Frank, Rupert L.; et al. (2014) Maximizers
for Gagliardo–Nirenberg inequalities and related non-local problems;
Mathematische Annalen; Vol. 360; No. 3-4; 653-673; 10.1007/s00208-014-1046-2
- Grigsby, J. Elisenda and Ni, Yi (2014) Sutured
Khovanov homology distinguishes braids from other tangles;
Mathematical Research Letters; Vol. 21; No. 6; 1263-1275; 10.4310/MRL.2014.v21.n6.a4
- Kapustin, Anton (2014) Bosonic
Topological Insulators and Paramagnets: a view from cobordisms; 10.48550/arXiv.1404.6659
- Liu, Hong; Ooguri, Hirosi; et al. (2014) Hall
Viscosity and Angular Momentum in Gapless Holographic Models;
Physical Review D; Vol. 90; No. 8; Art. No. 086007; 10.1103/PhysRevD.90.086007
- Ramakrishnan, Dinakar (2014) An
exercise concerning the selfdual cusp forms on GL(3); Indian Journal
of Pure and Applied Mathematics; Vol. 45; No. 5; 777-785; 10.1007/s13226-014-0088-1
- Conlon, D.; Gowers, W. T.; et al. (2014) On
the KŁR conjecture in random graphs; Israel Journal of Mathematics;
Vol. 203; No. 1; 535-580; 10.1007/s11856-014-1120-1
- Kapustin, Anton and Thorngren, Ryan (2014) Topological
field theory on a lattice, discrete theta-angles and confinement;
Advances in Theoretical and Mathematical Physics; Vol. 18; No. 5;
1233-1247; 10.4310/ATMP.2014.v18.n5.a4
- Simon, Barry (2014) Ed
Nelson’s Work in Quantum Theory; ISBN 978-1-4008-6525-3; Diffusion,
Quantum Theory, and Radically Elementary Mathematics; Princeton
University Press: Princeton, NJ; 75-94; 10.1515/9781400865253.75
- Conlon, David; Fox, Jacob; et al. (2014) Ramsey-type
results for semi-algebraic relations; Transactions of the American
Mathematical Society; Vol. 366; No. 9; 5043-5065; 10.1090/s0002-9947-2014-06179-5
- Breuer, Jonathan; Last, Yoram; et al. (2014) Stability
of Asymptotics of Christoffel–Darboux Kernels; Communications in
Mathematical Physics; Vol. 330; No. 3; 1155-1178; 10.1007/s00220-014-1913-4
- Cornelissen, Gunther and Marcolli, Matilde (2014) Quantum
Statistical Mechanics, L-Series and Anabelian Geometry I: Partition
Functions; ISBN 978-3-319-05253-3; Trends in Contemporary
Mathematics; Springer: Cham, Switzerland; 47-57; 10.1007/978-3-319-05254-0_4
- Frank, Rupert L. and Schlein, Benjamin (2014) Dynamics
of a Strongly Coupled Polaron; Letters in Mathematical Physics; Vol.
104; No. 8; 911-929; 10.1007/s11005-014-0700-7
- Finucane, Hilary; Tamuz, Omer; et al. (2014) Scenery
Reconstruction on Finite Abelian Groups; Stochastic Processes and
their Applications; Vol. 124; No. 8; 2754-2770; 10.1016/j.spa.2014.03.012
- Katz, Nets Hawk (2014) The
flecnode polynomial: a central object in incidence geometry; ISBN
9788961058063; Seoul ICM Proceedings; Kyung Moon SA: Seoul, Korea;
303-314; 10.48550/arXiv.1404.3412
- Marcolli, Matilde (2014) Principles
and Parameters: a coding theory perspective; 10.48550/arXiv.1407.7169
- Manin, Yuri I. and Marcolli, Matilde (2014) Big
Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology?;
Symmetry, Integrability and Geometry, Methods and Applications (SIGMA);
Vol. 10; Art. No. 73; 10.3842/SIGMA.2014.073
- Ni, Yi and Zhang, Xingru (2014) Dehn
surgery on knots in S^3 producing Nil Seifert fibred spaces; 10.48550/arXiv.1407.0648
- Marcolli, Matilde and Tabuada, Gonçalo (2014) Jacobians
of noncommutative motives; Moscow Mathematical Journal; Vol. 14;
No. 3; 577-594; 10.48550/arXiv.1212.1118
- Frank, Rupert L.; Lewin, Mathieu; et al. (2014) Strichartz
inequality for orthonormal functions; Journal of the European
Mathematical Society; Vol. 16; No. 7; 1507-1526; 10.4171/JEMS/467
- Gukov, Sergei and Sułkowski, Piotr (2014) A-Polynomial,
B-Model, and Quantization; ISBN 978-3-319-06513-7; Homological
Mirror Symmetry and Tropical Geometry; Springer: Cham, Switzerland;
87-151; 10.1007/978-3-319-06514-4_4
- Kapustin, Anton and Thorngren, Ryan (2014) Anomalous
Discrete Symmetries in Three Dimensions and Group Cohomology;
Physical Review Letters; Vol. 112; No. 23; Art. No. 231602; 10.1103/PhysRevLett.112.231602
- Li, Tian-Jun and Ni, Yi (2014) Virtual
Betti numbers and virtual symplecticity of 4-dimensional mapping
tori; Mathematische Zeitschrift; Vol. 277; No. 1-2; 195-208; 10.1007/s00209-013-1250-x
- Liu, Hong; Ooguri, Hirosi; et al. (2014) Angular
momentum generation by parity violation; Physical Review D; Vol. 89;
No. 10; Art. No. 106007; 10.1103/PhysRevD.89.106007
- Benjamini, Itai; Chan, Siu-On; et al. (2014) Convergence,
unanimity and disagreement in majority dynamics on unimodular graphs and
random graphs; 10.48550/arXiv.1405.2486
- Conlon, David; Fox, Jacob; et al. (2014) Extremal
results in sparse pseudorandom graphs; Advances in Mathematics; Vol.
256; 206-290; 10.1016/j.aim.2013.12.004
- Eisenträger, Kirsten; Hallgren, Sean; et al. (2014) A
quantum algorithm for computing the unit group of an arbitrary degree
number field; ISBN 978-1-4503-2710-7; STOC ’14 Proceedings of the
46th Annual ACM Symposium on Theory of Computing; ACM: New York, NY;
293-302; 10.1145/2591796.2591860
- Manin, Yuri and Marcolli, Matilde (2014) Kolmogorov
complexity and the asymptotic bound for error-correcting codes;
Journal of Differential Geometry; Vol. 97; No. 1; 91-108; 10.48550/arXiv.1203.0653
- Mossel, Elchanan; Neeman, Joe; et al. (2014) Majority
Dynamics and Aggregation of Information in Social Networks;
Autonomous Agents and Mutli-Agent Systems; Vol. 28; No. 3; 408-429; 10.1007/s10458-013-9230-4
- Gadde, Abhijit; Gukov, Sergei; et al. (2014) Walls,
lines, and spectral dualities in 3d gauge theories; Journal of High
Energy Physics; Vol. 2014; No. 5; Art. No. 47; 10.1007/JHEP05(2014)047
- Frank, Rupert L.; Lenz, Daniel; et al. (2014) Intrinsic
metrics for non-local symmetric Dirichlet forms and applications to
spectral theory; Journal of Functional Analysis; Vol. 266; No. 8;
4765-4808; 10.1016/j.jfa.2014.02.008
- Kapustin, Anton (2014) Symmetry
Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group
Cohomology; 10.48550/arXiv.1403.1467
- Gadde, Abhijit; Gukov, Sergei; et al. (2014) Duality
Defects; 10.48550/arXiv.1404.2929
- Kapustin, Anton and Seiberg, Nathan (2014) Coupling
a QFT to a TQFT and duality; Journal of High Energy Physics; Vol.
2014; No. 4; Art. No. 001; 10.1007/JHEP04(2014)001
- Ceyhan, Özgür and Marcolli, Matilde (2014) Algebraic
renormalization and Feynman integrals in configuration spaces;
Advances in Theoretical and Mathematical Physics; Vol. 18; No. 2;
469-511; 10.4310/ATMP.2014.v18.n2.a5
- Marcolli, M. and Tedeschi, N. (2014) Multifractals,
Mumford Curves and Eternal Inflation; P-Adic Numbers, Ultrametric
Analysis, and Applications; Vol. 6; No. 2; 135-154; 10.1134/S2070046614020034
- Greenfield, M.; Marcolli, M.; et al. (2014) Twisted
Spectral Triples and Quantum Statistical Mechanical Systems; P-Adic
Numbers, Ultrametric Analysis, and Applications; Vol. 6; No. 2; 81-104;
10.1134/S2070046614020010
- Dimitrov, Mladen and Ramakrishnan, Dinakar (2014) Compact
arithmetic quotients of the complex 2-ball and a conjecture of Lang;
10.48550/arXiv.1401.1628
- Gadde, Abhijit; Gukov, Sergei; et al. (2014) (0,
2) trialities; Journal of High Energy Physics; Vol. 2014; No. 3;
Art. No. 76; 10.1007/JHEP03(2014)076
- Gadde, Abhijit and Gukov, Sergei (2014) 2d
index and surface operators; Journal of High Energy Physics; Vol.
2014; No. 3; Art. No. 80; 10.1007/JHEP03(2014)080
- Kapustin, Anton (2014) Ground-state
degeneracy for Abelian anyons in the presence of gapped boundaries;
Physical Review B; Vol. 89; No. 12; Art. No. 125307; 10.1103/PhysRevB.89.125307
- Jin, Zhaorong and Marcolli, Matilde (2014) Endomotives
of toric varieties; Journal of Geometry and Physics; Vol. 77; 48-71;
10.1016/j.geomphys.2013.12.006
- Fan, Edward S. T. and Flach, M. (2014) A
note on the cohomology of the Langlands group; Transactions of the
American Mathematical Society; Vol. 367; No. 4; 2905-2920; 10.1090/S0002-9947-2014-06230-2
- Mossel, Elchanan; Sly, Allan; et al. (2014) Asymptotic
learning on Bayesian social networks; Probability Theory and Related
Fields; Vol. 158; No. 1-2; 127-157; 10.1007/s00440-013-0479-y
- Bellazzini, Jacopo; Frank, Rupert L.; et al. (2014) Existence
of ground states for negative ions at the binding threshold; Reviews
in Mathematical Physics; Vol. 26; No. 01; Art. No. 1350021; 10.1142/S0129055X13500219
- Marcolli, Matilde and Tabuada, Gonçalo (2014) Noncommutative
motives, numerical equivalence, and semi-simplicity; American
Journal of Mathematics; Vol. 136; No. 1; 59-75; 10.1353/ajm.2014.0004
- Carlen, Eric A.; Frank, Rupert L.; et al. (2014) Stability
Estimates for the Lowest Eigenvalue of a Schrödinger Operator;
Geometric and Functional Analysis; Vol. 24; No. 1; 63-84; 10.1007/s00039-014-0253-z
- Conlon, David; Fox, Jacob; et al. (2014) Large
subgraphs without complete bipartite graphs; 10.48550/arXiv.1401.6711
- Ni, Yi (2014) Some
applications of Gabai’s internal hierarchy; Advances in Mathematics;
Vol. 250; 467-495; 10.1016/j.aim.2013.10.001
- Cohen, Arjeh M.; Gijsbers, Dié A. H.; et al. (2014) The
Birman–Murakami–Wenzl Algebras of Type D_n; Communications in
Algebra; Vol. 42; No. 1; 22-55; 10.1080/00927872.2012.678955
- Wilson, Richard M. and Wong, Tony W. H. (2014) Diagonal
forms of incidence matrices associated with t-uniform hypergraphs;
European Journal of Combinatorics; Vol. 35; 490-508; 10.1016/j.ejc.2013.06.032
- Aschbacher, Michael (2014) Finite
Groups of Seitz Type; Proceedings of the American Mathematical
Society; Vol. 142; No. 1; 113-120; 10.1090/S0002-9939-2013-11752-1
- Dimofte, Tudor; Gaiotto, Davide; et al. (2014) Gauge
Theories Labelled by Three-Manifolds; Communications in Mathematical
Physics; Vol. 325; No. 2; 367-419; 10.1007/s00220-013-1863-2
- Marcolli, Matilde and van Suijlekom, Walter D. (2014) Gauge
networks in noncommutative geometry; Journal of Geometry and
Physics; Vol. 75; 71-91; 10.1016/j.geomphys.2013.09.002
- Marcolli, Matilde and Tabuada, Gonçalo (2014) Noncommutative
Artin motives; Selecta Mathematica - New Series; Vol. 20; No. 1;
315-358; 10.1007/s00029-013-0131-9
- Marcolli, Matilde (2014) Noncommutative
geometry models for particle physics; ISBN 9789814460057; Geometric,
algebraic and topological methods for quantum field theory; World
Scientific Publishing: Hackensack, NJ; 189-223; 10.1142/9789814460057_0005
- Conlon, David; Fox, Jacob; et al. (2014) Short
Proofs of Some Extremal Results; Combinatorics, Probability and
Computing; Vol. 23; No. 1; 8-28; 10.1017/s0963548313000448
- Ni, Yi and Zhang, Xingru (2014) Characterizing
slopes for torus knots; Algebraic and Geometric Topology; Vol. 14;
No. 3; 1249-1274; 10.2140/agt.2014.14.1249
- Conlon, David (2014) Combinatorial
theorems relative to a random set; ISBN 9788961058070; Proceedings
of the International Congress of Mathematicians; Kyung Moon Sa Co. Ltd.:
Seoul, Korea; 303-327; 10.48550/arXiv.1404.3324
- Ćaćić, Branimir; Marcolli, Matilde; et al. (2014) Coupling
of gravity to matter, spectral action and cosmic topology; Journal
of Noncommutative Geometry; Vol. 8; No. 2; 473-504; 10.4171/JNCG/162
- Frank, Rupert L. (2014) Cwikel’s
theorem and the CLR inequality; Journal of Spectral Theory; Vol. 4;
No. 1; 1-21; 10.4171/JST/59
- Ni, Yi (2014) Homological
actions on sutured Floer homology; Mathematical Research Letters;
Vol. 21; No. 5; 1177-1197; 10.4310/MRL.2014.v21.n5.a12
- Angel, Omer; Kechris, Alexander S.; et al. (2014) Random
orderings and unique ergodicity of automorphism groups; Journal of
the European Mathematical Society; Vol. 16; No. 10; 2059-2095; 10.4171/JEMS/483
- Conlon, David; Fox, Jacob; et al. (2014) The
Green-Tao theorem: an exposition; EMS Surveys in Mathematical
Sciences; Vol. 1; No. 2; 249-282; 10.4171/emss/6
- Yu, Tony Yue (2014) The
number of vertices of a tropical curve is bounded by its area;
L’Enseignement Mathématique; Vol. 60; No. 3/4; 257-271; 10.4171/lem/60-3/4-3
- Marcolli, Matilde and Thorngren, Ryan (2014) Thermodynamic
semirings; Journal of Noncommutative Geometry; Vol. 8; No. 2;
337-392; 10.4171/JNCG/159
- Nakamura, Shin and Ooguri, Hirosi (2013) Out
of equilibrium temperature from holography; Physical Review D; Vol.
88; No. 12; Art. No. 126003; 10.1103/PhysRevD.88.126003
- Mossel, Elchanan and Tamuz, Omer (2013) Making
Consensus Tractable; ACM Transactions on Economics and Computation;
Vol. 1; No. 4; Art. No. 20; 10.1145/2542174.2542176
- Frank, Rupert L. and Lieb, Elliott H. (2013) Monotonicity
of a relative Rényi entropy; Journal of Mathematical Physics; Vol.
54; No. 12; Art. No. 122201; 10.1063/1.4838835
- Conlon, David; Fox, Jacob; et al. (2013) Two
extensions of Ramsey’s theorem; Duke Mathematical Journal; Vol. 162;
No. 15; 2903-2927; 10.1215/00127094-2382566
- Gur, Tom and Tamuz, Omer (2013) Testing
Booleanity and the Uncertainty Principle; Chicago Journal of
Theoretical Computer Science; Vol. 2013; Art. No. 14; 10.4086/cjtcs.2013.014
- Keller, Christoph A. and Ooguri, Hirosi (2013) Modular
Constraints on Calabi-Yau Compactifications; Communications in
Mathematical Physics; Vol. 324; No. 1; 107-127; 10.1007/s00220-013-1797-8
- Conley, Clinton T.; Kechris, Alexander S.; et al. (2013) Stationary
probability measures and topological realizations; Israel Journal of
Mathematics; Vol. 198; No. 1; 333-345; 10.1007/s11856-013-0025-8
- Li, Eileen and Ni, Yi (2013) Half-integral
finite surgeries on knots in S^3; 10.48550/arXiv.1310.1346
- Frank, Rupert L. and Lieb, Elliott H. (2013) Extended
Quantum Conditional Entropy and Quantum Uncertainty Inequalities;
Communications in Mathematical Physics; Vol. 323; No. 2; 487-495; 10.1007/s00220-013-1775-1
- Cornelissen, Gunther and Marcolli, Matilde (2013) Graph
reconstruction and quantum statistical mechanics; Journal of
Geometry and Physics; Vol. 72; 110-117; 10.1016/j.geomphys.2013.03.021
- Hedden, Matthew and Ni, Yi (2013) Khovanov
module and the detection of unlinks; Geometry and Topology; Vol. 17;
No. 5; 3027-3076; 10.2140/gt.2013.17.3027
- Simon, B. (2013) Spectral
Theory of Orthogonal Polynomials; ISBN 9789814449243; XVIIth
International Congress on Mathematical Physics; World Scientific
Publishing: Hackensack, NJ; 217-228; 10.1142/9789814449243_0012
- Gaiotto, Davide; Gukov, Sergei; et al. (2013) Surface
defects and resolvents; Journal of High Energy Physics; Vol. 2013;
No. 9; Art. No. 70; 10.1007/JHEP09(2013)070
- Tamuz, Omer (2013) A
lower bound on seller revenue in single buyer monopoly auctions;
Operations Research Letters; Vol. 41; No. 5; 474-476; 10.1016/j.orl.2013.05.011
- Chee, Yeow Meng; Colbourn, Charles J.; et al. (2013) Covering
and packing for pairs; Journal of Combinatorial Theory. Series A;
Vol. 120; No. 7; 1440-1449; 10.1016/j.jcta.2013.04.005
- Estrada, Christopher and Marcolli, Matilde (2013) Asymptotic
safety, hypergeometric functions, and the Higgs mass in spectral action
models; International Journal of Geometric Methods in Modern
Physics; Vol. 10; No. 7; Art. No. 1350036; 10.1142/S0219887813500369
- Gukov, Sergei and Kapustin, Anton (2013) Topological
Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge
Theories; 10.48550/arXiv.1307.4793
- Rains, Eric M. (2013) Birational
morphisms and Poisson moduli spaces; 10.48550/arXiv.1307.4032
- Rains, Eric M. (2013) Generalized
Hitchin systems on rational surfaces; 10.48550/arXiv.1307.4033
- Conlon, David and Fox, Jacob (2013) Graph
removal lemmas; ISBN 9781139506748; Surveys in Combinatorics 2013;
Cambridge University Press: Cambridge, United Kingdom; 1-50; 10.1017/cbo9781139506748.002
- Bejleri, Dori and Marcolli, Matilde (2013) Quantum
field theory over F_1; Journal of Geometry and Physics; Vol. 69;
40-59; 10.1016/j.geomphys.2013.03.002
- Conlon, David; Fox, Jacob; et al. (2013) An
improved bound for the stepping-up lemma; Discrete Applied
Mathematics; Vol. 161; No. 9; 1191-1196; 10.1016/j.dam.2010.10.013
- Rains, Eric and Ruijsenaars, Simon (2013) Difference
Operators of Sklyanin and van Diejen Type; Communications in
Mathematical Physics; Vol. 320; No. 3; 851-889; 10.1007/s00220-013-1692-3
- Kapustin, Anton; Willett, Brian; et al. (2013) Exact
results for supersymmetric abelian vortex loops in 2+1 dimensions;
Journal of High Energy Physics; Vol. 2013; No. 6; Art. No. 099; 10.1007/JHEP06(2013)099
- Kapustin, Anton (2013) Is
quantum mechanics exact?; Journal of Mathematical Physics; Vol. 54;
No. 6; Art. No. 062107; 10.1063/1.4811217
- Kapustin, Anton (2013) Is
there life beyond Quantum Mechanics?; 10.48550/arXiv.1303.6917
- Conlon, David (2013) The
Ramsey number of dense graphs; Bulletin of the London Mathematical
Society; Vol. 45; No. 3; 483-496; 10.1112/blms/bds097
- Frank, Rupert L. and Lenzmann, Enno (2013) Uniqueness
of non-linear ground states for fractional Laplacians in R; Acta
Mathematica; Vol. 210; No. 2; 261-318; 10.1007/s11511-013-0095-9
- Conlon, David; Fox, Jacob; et al. (2013) Linear
forms from the Gowers uniformity norm; 10.48550/arXiv.1305.5565
- Greenfield, Mark; Marcolli, Matilde; et al. (2013) Type
III σ-spectral triples and quantum statistical mechanical systems;
10.48550/arXiv.1305.5492
- Liu, Hong; Ooguri, Hirosi; et al. (2013) Spontaneous
Generation of Angular Momentum in Holographic Theories; Physical
Review Letters; Vol. 110; No. 21; Art. No. 211601; 10.1103/PhysRevLett.110.211601
- Aschbacher, Michael (2013) Overgroup
lattices in finite groups of Lie type containing a parabolic;
Journal of Algebra; Vol. 382; 71-99; 10.1016/j.jalgebra.2013.01.034
- Frank, Rupert L. and Kovařík, Hynek (2013) Heat
kernels of metric trees and applications; SIAM Journal on
Mathematical Analysis; Vol. 45; No. 3; 1027-1046; 10.1137/120886297
- Brooks, Peter; Kitaev, Alexei; et al. (2013) Protected
gates for superconducting qubits; Physical Review A; Vol. 87; No. 5;
Art. No. 052306; 10.1103/PhysRevA.87.052306
- Greene, Joshua Evan and Ni, Yi (2013) Non-simple
genus minimizers in lens spaces; 10.48550/arXiv.1305.0517
- Dimofte, Tudor and Gukov, Sergei (2013) Chern-Simons
theory and S-duality; Journal of High Energy Physics; Vol. 2013;
No. 5; Art. No. 109; 10.1007/JHEP05(2013)109
- Rains, Eric M. and Vazirani, Monica J. (2013) Deformations
of permutation representations of Coxeter groups; Journal of
Algebraic Combinatorics; Vol. 37; No. 3; 455-502; 10.1007/s10801-012-0371-3
- Ni, Yi (2013) Nonseparating
spheres and twisted Heegaard Floer homology; Algebraic and Geometric
Topology; Vol. 13; No. 2; 1143-1159; 10.2140/agt.2013.13.1143
- Marcolli, Matilde and Su, Jessica (2013) Arithmetic
of Potts Model Hypersurfaces; International Journal of Geometric
Methods in Modern Physics; Vol. 10; No. 4; Art. No. 1350005; 10.1142/S0219887813500059
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2013) Symmetry
of Bipolaron Bound States for Small Coulomb Repulsion;
Communications in Mathematical Physics; Vol. 319; No. 2; 557-573; 10.1007/s00220-012-1604-y
- Conley, Clinton T.; Kechris, Alexander S.; et al. (2013) Ultraproducts
of measure preserving actions and graph combinatorics; Ergodic
Theory and Dynamical Systems; Vol. 33; 334-374; 10.1017/S0143385711001143
- Aschbacher, Michael (2013) Fusion
systems of F_2-type; Journal of Algebra; Vol. 378; 217-262; 10.1016/j.jalgebra.2012.12.018
- Frank, Rupert L.; Lewin, Mathieu; et al. (2013) A
positive density analogue of the Lieb–Thirring inequality; Duke
Mathematical Journal; Vol. 162; No. 3; 435-495; 10.1215/00127094-2019477
- Fuji, Hiroyuki; Gukov, Sergei; et al. (2013) Super-A-polynomial
for knots and BPS states; Nuclear Physics B; Vol. 867; No. 2;
506-546; 10.1016/j.nuclphysb.2012.10.005
- Kapustin, Anton and Willett, Brian (2013) Wilson
loops in supersymmetric Chern-Simons-matter theories and duality; 10.48550/arXiv.1302.2164
- Aschbacher, Michael (2013) S_3-free
2-fusion systems; Proceedings of the Edinburgh Mathematical Society;
Vol. 56; No. 1; 27-48; 10.1017/S0013091512000235
- Arad, Itai; Kitaev, Alexei; et al. (2013) An
area law and sub-exponential algorithm for 1D systems; 10.48550/arXiv.1301.1162v1
- Fuji, Hiroyuki; Gukov, Sergei; et al. (2013) 3d
analogs of Argyres-Douglas theories and knot homologies; Journal of
High Energy Physics; Vol. 2013; No. 1; Art. No. 175; 10.1007/JHEP01(2013)175
- Aluffi, Paolo and Marcolli, Matilde (2013) A
motivic approach to phase transitions in Potts models; Journal of
Geometry and Physics; Vol. 63; 6-31; 10.1016/j.geomphys.2012.09.003
- Estrada, Christopher and Marcolli, Matilde (2013) Noncommutative
Mixmaster Cosmologies; International Journal of Geometric Methods in
Modern Physics; Vol. 10; No. 1; Art. No. 1250086; 10.1142/S0219887812500867
- Liu, Yi; Ni, Yi; et al. (2013) On
slope genera of knotted tori in 4-space; Pacific Journal of
Mathematics; Vol. 261; No. 1; 117-144; 10.2140/pjm.2013.261.117
- Dimofte, Tudor; Gaiotto, Davide; et al. (2013) 3-Manifolds
and 3d indices; Advances in Theoretical and Mathematical Physics;
Vol. 17; No. 5; 975-1076; 10.4310/ATMP.2013.v17.n5.a3
- Frank, Rupert L.; Hainzl, Christian; et al. (2013) Derivation
of Ginzburg-Landau theory for a one-dimensional system with contact
interaction; ISBN 978-3-0348-0531-5; Operator Methods in
Mathematical Physics; Springer: Basel; 57-88; 10.1007/978-3-0348-0531-5_3
- Christiansen, Jacob S.; Simon, Barry; et al. (2013) Finite
gap Jacobi matrices: A review; ISBN 978-0821875742; Spectral
Analysis, Differential Equations and Mathematical Physics; American
Mathematical Society: Providence, Rhode Island; 87-103; 10.48550/arXiv.1301.5073
- Conley, Clinton T. and Kechris, Alexander S. (2013) Measurable
chromatic and independence numbers for ergodic graphs and group
actions; Groups, Geometry, and Dynamics; Vol. 7; No. 1; 127-180; 10.4171/GGD/179
- Holden, Helge; Gesztesy, Fritz; et al. (2013) Spectral
analysis, differential equations, and mathematical physics : a
festschrift in honor of Fritz Gesztesy’s 60th birthday; ISBN
978-0-8218-7574-2; 10.1090/pspum/087
- Frank, Rupert L. and Lieb, Elliott H. (2012) Entropy
and the Uncertainty Principle; Annales Henri Poincaré; Vol. 13;
No. 8; 1711-1717; 10.1007/s00023-012-0175-y
- Blasius, Don; Ramakrishnan, Dinakar; et al. (2012) In
memoriam: Jonathan Rogawski; Pacific Journal of Mathematics; Vol.
260; No. 2; 257-257; 10.2140/pjm.2012.260.257
- Frank, Rupert L. and Geisinger, Leander (2012) Semi-classical
analysis of the Laplace operator with Robin boundary conditions;
Bulletin of Mathematical Sciences; Vol. 2; No. 2; 281-319; 10.1007/s13373-012-0028-5
- Marcolli, Matilde and Tabuada, Gonçalo (2012) Kontsevich’s
noncommutative numerical motives; Compositio Mathematica; Vol. 148;
No. 6; 1811-1820; 10.1112/S0010437X12000383
- Ceyhan, Özgür and Marcolli, Matilde (2012) Feynman
integrals and periods in configuration spaces; 10.48550/arXiv.1207.3544
- Faoro, Lara; Ioffe, Lev; et al. (2012) Dissipationless
dynamics of randomly coupled spins at high temperatures; Physical
Review B; Vol. 86; No. 13; Art. No. 134414; 10.1103/PhysRevB.86.134414
- Conlon, David and Fox, Jacob (2012) Bounds
for graph regularity and removal lemmas; Geometric and Functional
Analysis; Vol. 22; No. 5; 1191-1256; 10.1007/s00039-012-0171-x
- Rains, Eric M. (2012) Elliptic
Littlewood identities; Journal of Combinatorial Theory. Series A;
Vol. 119; No. 7; 1558-1609; 10.1016/j.jcta.2012.03.001
- Bell, M. T.; Sadovskyy, I. A.; et al. (2012) Quantum
Superinductor with Tunable Nonlinearity; Physical Review Letters;
Vol. 109; No. 13; Art. No. 137003; 10.1103/PhysRevLett.109.137003
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2012) Ground
state properties of multi-polaron systems; 10.48550/arXiv.1209.3717
- Menon, Aditya Krishna; Tamuz, Omer; et al. (2012) Textual
Features for Programming by Example; 10.48550/arXiv.1209.3811
- Conlon, David; Fox, Jacob; et al. (2012) Sidorenko’s
conjecture for a class of graphs: an exposition; 10.48550/arXiv.1209.0184
- Marcolli, Matilde and Perez, Christopher (2012) Codes
as Fractals and Noncommutative Spaces; Mathematics in Computer
Science; Vol. 6; No. 3; 199-215; 10.1007/s11786-012-0114-9
- Conlon, David; Fox, Jacob; et al. (2012) Erdős-Hajnal-type
theorems in hypergraphs; Journal of Combinatorial Theory, Series B;
Vol. 102; No. 5; 1142-1154; 10.1016/j.jctb.2012.05.005
- Frank, Rupert L. and Seiringer, Robert (2012) Lieb-Thirring
inequality for a model of particles with point interactions; Journal
of Mathematical Physics; Vol. 53; No. 9; Art. No. 095201; 10.1063/1.3697416
- Bhuyain, Tanvir Ahamed and Marcolli, Matilde (2012) The
Ricci Flow on Noncommutative Two-Tori; Letters in Mathematical
Physics; Vol. 101; No. 2; 173-194; 10.1007/s11005-012-0550-0
- Kapustin, Anton (2012) Remarks
on nonrelativistic Goldstone bosons; 10.48550/arXiv.1207.0457
- Kechris, Alexander S. (2012) Dynamics
of non-archimedean Polish groups; ISBN 978-3-03719-120-0; European
Congress of Mathematics, Kraków, 2-7 July, 2012; European Mathematical
Society: Zurich, Switzerland; 375-397; 10.4171/120
- Ceyhan, Özgür and Marcolli, Matilde (2012) Feynman
Integrals and Motives of Configuration Spaces; Communications in
Mathematical Physics; Vol. 313; No. 1; 35-70; 10.1007/s00220-012-1484-1
- Frank, Rupert L.; Hainzl, Christian; et al. (2012) Microscopic
Derivation of Ginzburg-Landau Theory; Journal of the American
Mathematical Society; Vol. 25; No. 3; 667-713; 10.1090/S0894-0347-2012-00735-8
- Kitaev, Alexei and Kong, Liang (2012) Models
for Gapped Boundaries and Domain Walls; Communications in
Mathematical Physics; Vol. 313; No. 2; 351-373; 10.1007/s00220-012-1500-5
- Mossel, Elchanan and Tamuz, Omer (2012) Complete
Characterization of Functions Satisfying the Conditions of Arrow’s
Theorem; Social Choice and Welfare; Vol. 39; No. 1; 127-140; 10.1007/s00355-011-0547-0
- Prasad, Dipendra and Ramakrishnan, Dinakar (2012) Self-dual
representations of division algebras and Weil groups: A contrast;
American Journal of Mathematics; Vol. 134; No. 3; 749-772; 10.1353/ajm.2012.0017
- Kechris, Alexander S. (2012) Weak
containment in the space of actions of a free group; Israel Journal
of Mathematics; Vol. 189; No. 1; 461-507; 10.1007/s11856-011-0182-6
- Chen, Shibing; Frank, Rupert L.; et al. (2012) Remainder
terms in the fractional Sobolev inequality; 10.48550/arXiv.1205.5666
- Conlon, David; Fox, Jacob; et al. (2012) On
two problems in graph Ramsey theory; Combinatorica; Vol. 32; No. 5;
513-535; 10.1007/s00493-012-2710-3
- Hartman, Yair; Lima, Yuri; et al. (2012) An
Abramov formula for stationary spaces of discrete groups; 10.48550/arXiv.1204.5414
- Ooguri, Hirosi and Oshikawa, Masaki (2012) Instability
in Magnetic Materials with a Dynamical Axion Field; Physical Review
Letters; Vol. 108; No. 16; Art. No. 161803; 10.1103/PhysRevLett.108.161803
- Kitaev, Alexei and Wang, Zhenghan (2012) Solutions
to generalized Yang-Baxter equations via ribbon fusion categories;
10.48550/arXiv.1203.1063
- Mossel, Elchanan and Tamuz, Omer (2012) Bundling
Customers: How to Exploit Trust Among Customers to Maximize Seller
Profit; 10.48550/arXiv.1202.0969
- Aschbacher, Michael; Lyons, Richard; et al. (2012) 2012
Steele Prizes; Notices of the American Mathematical Society; Vol.
59; No. 4; 563-566; 10.1090/noti826
- Christiansen, Jacob S.; Simon, Barry; et al. (2012) Finite
Gap Jacobi Matrices, III. Beyond the Szegő Class; Constructive
Approximation; Vol. 35; No. 2; 259-272; 10.1007/s00365-012-9152-4
- Nakayama, Yu and Ooguri, Hirosi (2012) Comments
on worldsheet description of the Omega background; Nuclear Physics
B; Vol. 856; No. 2; 342-359; 10.1016/j.nuclphysb.2011.11.010
- Aschbacher, Michael (2012) Lower
signalizer lattices in alternating and symmetric groups; Journal of
Group Theory; Vol. 15; No. 2; 151-225; 10.1515/jgt-2011-0112
- Conlon, David (2012) On
the Ramsey multiplicity of complete graphs; Combinatorica; Vol. 32;
No. 2; 171-186; 10.1007/s00493-012-2465-x
- Forrester, Peter J. and Rains, Eric M. (2012) A
Fuchsian Matrix Differential Equation for Selberg Correlation
Integrals; Communications in Mathematical Physics; Vol. 309; No. 3;
771-792; 10.1007/s00220-011-1305-y
- Gukov, Sergei and Sułkowski, Piotr (2012) A-polynomial,
B-model, and quantization; Journal of High Energy Physics; Vol.
2012; No. 2; Art. No. 070; 10.1007/JHEP02(2012)070
- Frank, Rupert L. and Loss, Michael (2012) Hardy-Sobolev-Maz’ya
inequalities for arbitrary domains; Journal de Mathématiques Pures
et Appliquées; Vol. 97; No. 1; 39-54; 10.1016/j.matpur.2011.04.004
- Poonen, Bjorn and Rains, Eric (2012) Random
maximal isotropic subspaces and Selmer groups; Journal of the
American Mathematical Society; Vol. 25; No. 1; 245-269; 10.1090/S0894-0347-2011-00710-8
- Frank, Rupert L. and Lieb, Elliott H. (2012) Sharp
constants in several inequalities on the Heisenberg group; Annals of
Mathematics; Vol. 176; No. 1; 349-381; 10.4007/annals.2012.176.1.6
- Marcolli, Matilde; Pierpaoli, Elena; et al. (2012) The
Coupling of Topology and Inflation in Noncommutative Cosmology;
Communications in Mathematical Physics; Vol. 309; No. 2; 341-369; 10.1007/s00220-011-1352-4
- Conlon, David; Hàn, Hiêp; et al. (2012) Weak
quasi-randomness for uniform hypergraphs; Random Structures &
Algorithms; Vol. 40; No. 1; 1-38; 10.1002/rsa.20389
- Frank, Rupert L. and Lieb, Elliott H. (2012) A
new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev
inequality; ISBN 978-3-0348-0263-5; Spectral Theory, Function Spaces
and Inequalities; Springer: Basel; 55-67; 10.1007/978-3-0348-0263-5_4
- Ooguri, Hirosi (2012) Chapter
6. Lectures on Topological String Theory; ISBN 978-3-642-25946-3;
Strings and Fundamental Physics; Springer; 233-263; 10.1007/978-3-642-25947-0_6
- Michel, Philippe and Ramakrishnan, Dinakar (2012) Consequences
of the Gross–Zagier formulae: Stability of average L-values,
subconvexity, and non-vanishing mod p; ISBN 978-1-4614-1259-5;
Number Theory, Analysis and Geometry: In Memory of Serge Lang; Springer:
New York; 437-459; 10.1007/978-1-4614-1260-1_20
- Kechris, Alexander S. and Sokić, Miodrag (2012) Dynamical
properties of the automorphism groups of the random poset and random
distributive lattice; Fundamenta Mathematicae; Vol. 218; No. 1;
69-94; 10.4064/fm218-1-4
- Gukov, Sergei and Stošić, Marko (2012) Homological
algebra of knots and BPS states; ISBN 9780821872956; String-Math
2011; American Mathematical Society: Providence, RI; 125-171; 10.1090/pspum/085
- Sivan, Balasubramanian; Syrgkanis, Vasilis; et al. (2012) Lower
Bounds on Revenue of Approximately Optimal Auctions; ISBN
978-3-642-35310-9; Internet and Network Economics; Springer Verlag: New
York, NY; 526-531; 10.1007/978-3-642-35311-6_42
- Marcolli, Matilde (2012) Motivic
structures in quantum field theory; ISBN 9780821872956; String-Math
2011; American Mathematical Society: Providence, RI; 173-190
- Goldfeld, Dorian; Jorgenson, Jay; et al. (2012) Number
Theory, Analysis and Geometry: In Memory of Serge Lang; ISBN
978-1-4614-1259-5; 10.1007/978-1-4614-1260-1
- Flach, M. and Morin, B. (2012) On
the Weil-Étale Topos of Regular Arithmetic Schemes; Documenta
Mathematica; Vol. 17; 313-400
- Kechris, Alexander S. and Tucker-Drob, Robin D. (2012) The
complexity of classification problems in ergodic theory; ISBN
9781139843065; Appalachian Set Theory: 2006-2012; Cambridge University
Press: Cambridge; 265-300; 10.1017/CBO9781139208574.010
- Kechris, Alexander S. (2012) Trigonometric
series and set theory; Roczniki. Seria 2: Wiadomości Matematyczne;
Vol. 48; No. 2; 109-118
- Fuji, Hiroyuki; Gukov, Sergei; et al. (2012) Volume
conjecture: refined and categorified; Advances in Theoretical and
Mathematical Physics; Vol. 16; No. 6; 1669-1777; 10.48550/arXiv.1203.2182
- Berkooz, Micha and Kapustin, Anton (2011) A
Comment on Nonsupersymmetric Fixed Points and Duality at large N;
Advances in Theoretical and Mathematical Physics; Vol. 3; No. 3;
479-494; 10.4310/ATMP.1999.v3.n3.a2
- Kechris, Alexander S. (2011) A
note on Wadge degrees; ISBN 9781139028073; Wadge Degrees and
Projective Ordinals: The Cabal Seminar, Volume II; Cambridge University
Press: Cambridge; 43-46; 10.1017/cbo9781139028073.004
- Kechris, Alexander S. (2011) Homogeneous
trees and projective scales; ISBN 9781139028073; Wadge Degrees and
Projective Ordinals: The Cabal Seminar, Volume II; Cambridge University
Press: Cambridge; 270-303; 10.1017/cbo9781139028073.014
- Kechris, Alexander S.; Löwe, Benedikt; et al. (2011) Original
Numbering; ISBN 9781139028073; Wadge Degrees and Projective
Ordinals: The Cabal Seminar, Volume II; Cambridge University Press:
Cambridge; xiii-xxii; 10.1017/cbo9781139028073.021
- Kechris, Alexander S.; Löwe, Benedikt; et al. (2011) Preface;
ISBN 9781139028073; Wadge Degrees and Projective Ordinals: The Cabal
Seminar, Volume II; Cambridge University Press: Cambridge; ix-xii; 10.1017/cbo9781139028073.001
- Kechris, Alexander S.; Steel, John R.; et al. (2011) Wadge
Degrees and Projective Ordinals: The Cabal Seminar, Volume II; ISBN
9781139028073; Wadge Degrees and Projective Ordinals: The Cabal Seminar,
Volume II; Cambridge University Press: Cambridge; 10.1017/cbo9781139028073
- Kapustin, Anton; Kim, Hyungchul; et al. (2011) Dualities
for 3d theories with tensor matter; Journal of High Energy Physics;
Vol. 2011; No. 12; 87; 10.1007/JHEP12(2011)087
- Flach, Matthias (2011) On
the cyclotomic main conjecture for the prime 2; Journal Für Die
Reine und Angewandte Mathematik; Vol. 661; 1-36; 10.1515/CRELLE.2011.082
- Gukov, Sergei (2011) Quantization
via mirror symmetry; Japanese Journal of Mathematics; Vol. 6; No. 2;
65-119; 10.1007/s11537-011-1033-2
- Frongillo, Rafael M.; Schoenebeck, Grant; et al. (2011) Social
Learning in a Changing World; ISBN 978-3-642-25509-0; Internet and
Network Economics; Springer-Verlag: Berlin Heidelberg; 146-157; 10.1007/978-3-642-25510-6_13
- Dimofte, Tudor; Gukov, Sergei; et al. (2011) Vortex
Counting and Lagrangian 3-Manifolds; Letters in Mathematical
Physics; Vol. 98; No. 3; 225-287; 10.1007/s11005-011-0531-8
- Eguchi, Tohru; Ooguri, Hirosi; et al. (2011) Notes
on the K3 Surface and the Mathieu Group M_(24); Experimental
Mathematics; Vol. 20; No. 1; 91-96; 10.1080/10586458.2011.544585
- van de Bult, Fokko J. and Rains, Eric M. (2011) Limits
of multivariate elliptic beta integrals and related bilinear forms;
10.48550/arXiv.1110.1460
- van de Bult, Fokko J. and Rains, Eric M. (2011) Limits
of multivariate elliptic hypergeometric biorthogonal functions; 10.48550/arXiv.1110.1458
- Conlon, David (2011) Inevitable
randomness in discrete mathematics [Book Review]; Bulletin of the
London Mathematical Society; Vol. 43; No. 5; 1021-1023; 10.1112/blms/bdr063
- Ooguri, Hirosi; Sułkowski, Piotr; et al. (2011) Wall
Crossing as Seen by Matrix Models; Communications in Mathematical
Physics; Vol. 307; No. 2; 429-462; 10.1007/s00220-011-1330-x
- Dyda, Bartlomiej and Frank, Rupert L. (2011) Fractional
Hardy-Sobolev-Maz’ya inequality for domains; 10.48550/arXiv.1109.6570
- Ni, Yi (2011) Dehn
surgeries on knots in product manifolds; Journal of Topology; Vol.
4; No. 4; 799-816; 10.1112/jtopol/jtr020
- Rains, Eric M. (2011) An
Isomonodromy Interpretation of the Hypergeometric Solution of the
Elliptic Painlevé Equation (and Generalizations); Symmetry,
Integrability and Geometry, Methods and Applications (SIGMA); Vol. 7;
Art. No. 088; 10.3842/SIGMA.2011.088
- Frank, Rupert L. and Olofsson, Rikard (2011) Eigenvalue
bounds for Schrödinger operators with a homogeneous magnetic field;
Letters in Mathematical Physics; Vol. 97; 227-241; 10.1007/s11005-011-0499-4
- Kechris, Alexander S. (2011) In
Memoriam: Gregory Hjorth, 1963-2011; Bulletin of Symbolic Logic;
Vol. 17; No. 3; 471-477
- Cohen, Arjeh M. and Wales, David B. (2011) The
Birman-Murakami-Wenzl algebras of type E_n; Transformation Groups;
Vol. 16; No. 3; 681-715; 10.1007/s00031-011-9150-9
- Cornean, Horia D.; Fournais, Søren; et al. (2011) Sharp
trace asymptotics for a class of 2D-magnetic operators; 10.48550/arXiv.1108.0777
- Marcolli, Matilde (2011) Building
Cosmological Models via Noncommutative Geometry; International
Journal of Geometric Methods in Modern Physics; Vol. 8; No. 5;
1131-1168; 10.1142/S0219887811005592
- Frank, Rupert L. (2011) Eigenvalue
bounds for Schrödinger operators with complex potentials; Bulletin
of the London Mathematical Society; Vol. 43; No. 4; 745-750; 10.1112/blms/bdr008
- Etingof, Pavel and Rains, Eric (2011) On
Algebraically Integrable Differential Operators on an Elliptic
Curve; Symmetry, Integrability and Geometry, Methods and
Applications (SIGMA); Vol. 7; Art. No. 62; 10.3842/SIGMA.2011.062
- Tamuz, Omer; Liu, Ce; et al. (2011) Adaptively
Learning the Crowd Kernel; ISBN 978-1-4503-0619-5; International
Conference on Machine Learning; ACM: New York, NY; 673-680; 10.48550/arXiv.1105.1033
- Kapustin, Anton and Willett, Brian (2011) Generalized
Superconformal Index for Three Dimensional Field Theories; 10.48550/arXiv.1106.2484
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2011) Binding
of Polarons and Atoms at Threshold; 10.48550/arXiv.1106.0729
- Martínez-Finkelshtein, Andrei and Simon, Barry (2011) Asymptotics
of the L^2 norm of derivatives of OPUC; Journal of Approximation
Theory; Vol. 163; No. 6; 747-778; 10.1016/j.jat.2010.09.002
- Manin, Yuri I. and Marcolli, Matilde (2011) Error-Correcting
Codes and Phase Transitions; Mathematics in Computer Science; Vol.
5; No. 2; 133-170; 10.1007/s11786-010-0031-8
- Christiansen, Jacob S.; Simon, Barry; et al. (2011) Finite
Gap Jacobi Matrices, II. The Szegő Class; Constructive
Approximation; Vol. 33; No. 3; 365-403; 10.1007/s00365-010-9094-7
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2011) Stability
and Absence of Binding for Multi-Polaron Systems; Publications
mathématiques de l’IHÉS; Vol. 113; No. 1; 39-67; 10.1007/s10240-011-0031-5
- Aganagic, Mina; Ooguri, Hirosi; et al. (2011) Wall
Crossing and M-Theory; Publications of the Research Institute for
Mathematical Sciences; Vol. 47; No. 2; 569-584; 10.2977/PRIMS/44
- Frank, Rupert L. and Lieb, Elliott H. (2011) Possible
Lattice Distortions in the Hubbard Model for Graphene; 10.48550/arXiv.1105.0693
- Bashkirov, Denis and Kapustin, Anton (2011) Dualities
between N = 8 superconformal field theories in three dimensions;
Journal of High Energy Physics; Vol. 2011; No. 5; Art. No. 074; 10.1007/JHEP05(2011)074
- Bashkirov, Denis and Kapustin, Anton (2011) Supersymmetry
enhancement by monopole operators; Journal of High Energy Physics;
Vol. 2011; No. 5; Art. No. 015; 10.1007/JHEP05(2011)015
- Marcolli, Matilde; Pierpaoli, Elena; et al. (2011) The
Spectral Action and Cosmic Topology; Communications in Mathematical
Physics; Vol. 304; No. 1; 125-174; 10.1007/s00220-011-1211-3
- Kapustin, Anton and Saulina, Natalia (2011) Topological
boundary conditions in abelian Chern-Simons theory; Nuclear Physics
B; Vol. 845; No. 3; 393-435; 10.1016/j.nuclphysb.2010.12.017
- Frank, Rupert L. and Simon, Barry (2011) Critical
Lieb-Thirring bounds in gaps and the generalized Nevai conjecture for
finite gap Jacobi matrices; Duke Mathematical Journal; Vol. 157;
No. 3; 461-493; 10.1215/00127094-1272912
- Frank, Rupert L.; Lewin, Mathieu; et al. (2011) Energy
Cost to Make a Hole in the Fermi Sea; Physical Review Letters; Vol.
106; No. 15; Art. No. 150402; 10.1103/PhysRevLett.106.150402
- Kapustin, Anton (2011) Seiberg-like
duality in three dimensions for orthogonal gauge groups; 10.48550/arXiv.1104.0466
- Ekholm, Tomas; Frank, Rupert L.; et al. (2011) Eigenvalue
estimates for Schrödinger operators on metric trees; Advances in
Mathematics; Vol. 226; No. 6; 5165-5197; 10.1016/j.aim.2011.01.001
- Breuer, Jonathan and Simon, Barry (2011) Natural
boundaries and spectral theory; Advances in Mathematics; Vol. 226;
No. 6; 4902-4920; 10.1016/j.aim.2010.12.019
- Frank, Rupert L.; Laptev, Ari; et al. (2011) A
sharp bound on eigenvalues of Schröedinger operators on the half-line
with complex-valued potentials; ISBN 9783764399948; Spectral Theory
and Analysis; Springer: Basel; 39-44; 10.1007/978-3-7643-9994-8_3
- Marcolli, Matilde and Paolucci, Anna Maria (2011) Cuntz–Krieger
Algebras and Wavelets on Fractals; Complex Analysis and Operator
Theory; Vol. 5; No. 1; 41-81; 10.1007/s11785-009-0044-y
- Aluffi, Paolo and Marcolli, Matilde (2011) Graph
Hypersurfaces and a Dichotomy in the Grothendieck Ring; Letters in
Mathematical Physics; Vol. 95; No. 3; 223-232; 10.1007/s11005-011-0461-5
- Fidkowski, Lukasz and Kitaev, Alexei (2011) Topological
phases of fermions in one dimension; Physical Review B; Vol. 83;
No. 7; Art. No. 075103; 10.1103/PhysRevB.83.075103
- Tikhonov, K. S.; Feigel’man, M. V.; et al. (2011) Power-Law
Spin Correlations in a Perturbed Spin Model on a Honeycomb Lattice;
Physical Review Letters; Vol. 106; No. 6; Art. No. 067203; 10.1103/PhysRevLett.106.067203
- Ooguri, Hirosi and Park, Chang-Soon (2011) Spatially
Modulated Phase in the Holographic Description of Quark-Gluon
Plasma; Physical Review Letters; Vol. 106; No. 6; Art. No. 061601;
10.1103/PhysRevLett.106.061601
- Aluffi, Paolo and Marcolli, Matilde (2011) Algebro-Geometric
Feynman Rules; International Journal of Geometric Methods in Modern
Physics; Vol. 8; No. 1; 203-237; 10.1142/S0219887811005099
- Kanoria, Yashodhan and Tamuz, Omer (2011) Efficient
Bayesian Social Learning on Trees; 10.48550/arXiv.1102.1398
- Frank, Rupert L.; Morozov, Sergey; et al. (2011) Weakly
coupled bound states of Pauli operators; Calculus of Variations and
Partial Differential Equations; Vol. 40; No. 1; 253-271; 10.1007/s00526-010-0339-x
- Conlon, David; Fox, Jacob; et al. (2011) Large
almost monochromatic subsets in hypergraphs; Israel Journal of
Mathematics; Vol. 181; No. 1; 423-432; 10.1007/s11856-011-0016-6
- Dimofte, Tudor; Gukov, Sergei; et al. (2011) Quantum
Wall Crossing in N=2 Gauge Theories; Letters in Mathematical
Physics; Vol. 95; No. 1; 1-25; 10.1007/s11005-010-0437-x
- Kechris, Alexander S. (2011) AD
and projective ordinals; ISBN 9780521762038; Wadge Degrees and
Projective Ordinals: The Cabal Seminar, Volume II; Cambridge University
Press: Cambridge; 304-345; 10.1017/CBO9781139028073.015
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2011) Binding,
Stability, and Non-binding of Multi-polaron Systems; ISBN
9789814350365; Mathematical Results in Quantum Physics; World
Scientific: Singapore; 21-32; 10.1142/9789814350365_0002
- Simon, Barry (2011) Convexity:
An Analytic Viewpoint; ISBN 9781107007314; 10.1017/CBO9780511910135
- Rains, Eric M. (2011) Elliptic
Analogues of the Macdonald and Koornwinder Polynomials; ISBN
9789814324304; Proceedings of the International Congress of
Mathematicians : Hyderabad, August 19-27, 2010; Hindustan Book Agency:
New Delhi, India; 2530-2554; 10.1142/9789814324359_0157
- Aluffi, Paolo and Marcolli, Matilde (2011) Feynman
motives and deletion-contraction relations; ISBN 978-0-8218-4890-6;
Topology of Algebraic Varieties and Singularities; American Mathematical
Society: Providence, RI; 21-64; 10.48550/arXiv.0907.3225
- Aschbacher, Michael; Kessar, Radha; et al. (2011) Fusion
Systems in Algebra and Topology; ISBN 9781139003841; 10.1017/CBO9781139003841
- Ramakrishnan, Dinakar (2011) Icosahedral
Fibres of the Symmetric Cube and Algebraicity; ISBN 0-8218-5204-3;
On certain L-functions: conference in honor of Freydoon Shahidi on
certain L-functions; American Mathematical Society: Providence, RI;
483-499; 10.48550/arXiv.0812.4787v2
- Carey, Alan; Marcolli, Matilde; et al. (2011) Modular
Index Invariants of Mumford Curves; ISBN 9781421403526;
Noncommutative geometry, arithmetic, and related topics: proceedings of
the Twenty-first Meeting of the Japan-U.S. Mathematics Institute; Johns
Hopkins University Press: Baltimore; 31-73; 10.48550/arXiv.0905.3157
- Arthur, James; Cogdell, James W.; et al. (2011) On
certain L-functions: conference on certain L-functions in honor of
Freydoon Shahidi; ISBN 978-0-8218-5204-0
- Simon, Barry (2011) On
the Removal of Finite Discrete Spectrum by Coefficient Stripping;
Journal of Spectral Theory; Vol. 1; No. 1; 81-85; 10.4171/JST/3
- Frank, Rupert L. (2011) On
the uniqueness of ground states of non-local equations; Journées
équations aux dérivées partielles; Vol. 2011; A5; 10.5802/jedp.77
- Dimofte, Tudor and Gukov, Sergei (2011) Quantum
Field Theory and the Volume Conjecture; ISBN 978-0-8218-4960-6;
Interactions between hyperbolic geometry, quantum topology, and number
theory; American Mathematical Society: Providence, RI; 41-67; 10.1090/conm/541/10678
- Marcolli, Matilde and Parashar, Deepak (2011) Quantum
Groups and Noncommutative Spaces: Perspectives on Quantum Geometry;
ISBN 978-3-8348-1442-5; 10.1007/978-3-8348-9831-9
- Poonen, Bjorn and Rains, Eric (2011) Self
cup products and the theta characteristic torsor; Mathematical
Research Letters; Vol. 18; No. 6; 1305-1318; 10.4310/MRL.2011.v18.n6.a18
- Frank, Rupert L. and Lieb, Elliott H. (2011) Spherical
reflection positivity and the Hardy-Littlewood-Sobolev inequality;
ISBN 978-0-8218-4971-2; Concentration, Functional Inequalities and
Isoperimetry; American Mathematical Society: Providence, RI; 89-102; 10.48550/arXiv.1003.5248
- Kapustin, Anton and Saulina, Natalia (2011) Surface
operators in 3d Topological Field Theory and 2d Rational Conformal Field
Theory; ISBN 978-0-8218-5195-1; Mathematical Foundations of Quantum
Field Theory and Perturbative String Theory; American Mathematical
Society: Providence, RI; 175-198; 10.48550/arXiv.1012.0911
- Kechris, Alexander S.; Solovay, Robert M.; et al. (2011) The
axiom of determinacy and the prewellordering property; ISBN
9780521762038; Wadge Degrees and Projective Ordinals: The Cabal Seminar,
Volume II; Cambridge University Press: Cambridge; 118-140; 10.1017/CBO9781139028073.008
- Ni, Yi (2011) Thurston
norm and cosmetic surgeries; ISBN 9780821852354; Low-dimensional and
Symplectic Topology; American Mathematical Society: Providence, RI;
53-63; 10.48550/arXiv.1001.3926
- Frank, Rupert L. and Geisinger, Leander (2011) Two-term
spectral asymptotics for the Dirichlet Laplacian on a bounded
domain; ISBN 9789814350365; Mathematical Results in Quantum Physics;
World Scientific: Singapore; 138-147; 10.1142/9789814350365_0012
- Mantovan, Elena (2011) l-Adic
Étale Cohomology of PEL Type Shimura Varieties with Non-Trivial
Coefficients; ISBN 978-0-8218-5226-2; Win- Women in Numbers:
Research Directions in Number Theory; American Mathematical Society:
Providence, RI; 61-83
- Ooguri, Hirosi and Park, Chang-Soon (2010) Holographic
endpoint of spatially modulated phase transition; Physical Review D;
Vol. 82; No. 12; Art. No. 126001; 10.1103/PhysRevD.82.126001
- Conlon, David; Fox, Jacob; et al. (2010) An
Approximate Version of Sidorenko’s Conjecture; Geometric and
Functional Analysis; Vol. 20; No. 6; 1354-1366; 10.1007/s00039-010-0097-0
- Borodin, Alexei; Gorin, Vadim; et al. (2010) q-Distributions
on boxed plane partitions; Selecta Mathematica - New Series; Vol.
16; No. 4; 731-789; 10.1007/s00029-010-0034-y
- Connes, Alain; Consani, Caterina; et al. (2010) The
Weil Proof and the Geometry of the Adelès Class Space; ISBN
978-0-8176-4744-5; Algebra, Arithmetic, and Geometry. Volume I: In Honor
of Yu. I. Manin; Springer: Boston, MA; 339-405; 10.1007/978-0-8176-4745-2_8
- Kitano, Ryuichiro; Ooguri, Hirosi; et al. (2010) Supersymmetry
Breaking and Gauge Mediation; Annual Review of Nuclear and Particle
Science; Vol. 60; 491-511; 10.1146/annurev.nucl.012809.104540
- Frank, Rupert L. and Lenzmann, Enno (2010) On
ground states for the L^2-critical boson star equation; 10.48550/arXiv.0910.2721
- Denicola, Domenic; Marcolli, Matilde; et al. (2010) Spin
foams and noncommutative geometry; Classical and Quantum Gravity;
Vol. 27; No. 20; Art. No. 205025; 10.1088/0264-9381/27/20/205025
- Marcolli, Matilde and Pierpaoli, Elena (2010) Early
universe models from noncommutative geometry; Advances in
Theoretical and Mathematical Physics; Vol. 14; No. 5; 1373-1432; 10.4310/ATMP.2010.v14.n5.a2
- Kapustin, Anton; Willett, Brian; et al. (2010) Nonperturbative
tests of three-dimensional dualities; Journal of High Energy
Physics; Vol. 2010; No. 10; Art. No. 013; 10.1007/JHEP10(2010)013
- Breuer, Jonathan; Last, Yoram; et al. (2010) The
Nevai Condition; Constructive Approximation; Vol. 32; No. 2;
221-254; 10.1007/s00365-009-9055-1
- Kapustin, Anton and Setter, Kevin (2010) Geometry
of Topological Defects of Two-dimensional Sigma Models; 10.48550/arXiv.1009.5999
- Kolodrubetz, Daniel and Marcolli, Matilde (2010) Boundary
conditions of the RGE flow in the noncommutative geometry approach to
particle physics and cosmology; Physics Letters B; Vol. 693; No. 2;
166-174; 10.1016/j.physletb.2010.08.018
- Ceyhan, Özgür and Marcolli, Matilde (2010) Open
string theory and planar algebras; Journal of Physics A:
Mathematical and General; Vol. 43; No. 38; Art. No. 385401; 10.1088/1751-8113/43/38/385401
- Fleischhack, Christian; Marcolli, Matilde; et al. (2010) Noncommutative
Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral
Triples; Oberwolfach Reports; Vol. 7; No. 1; 373-413; 10.4171/OWR/2010/09
- Frank, Rupert L. and Lieb, Elliott H. (2010) Inversion
positivity and the sharp Hardy–Littlewood–Sobolev inequality;
Calculus of Variations and Partial Differential Equations; Vol. 39;
No. 1-2; 85-99; 10.1007/s00526-009-0302-x
- Mantovan, Elena and Viehmann, Eva (2010) On
the Hodge–Newton filtration for p-divisible O-modules; Mathematische
Zeitschrift; Vol. 266; No. 1; 193-205; 10.1007/s00209-009-0561-4
- Kapustin, Anton and Rozansky, Lev (2010) Three-dimensional
topological field theory and symplectic algebraic geometry II;
Communications in Number Theory and Physics; Vol. 4; No. 3; 463-549; 10.4310/CNTP.2010.v4.n3.a1
- Bellissard, Jean V.; Marcolli, Matilde; et al. (2010) Dynamical
Systems on Spectral Metric Spaces; 10.48550/arXiv.1008.4617
- Tupitsyn, I. S.; Kitaev, A.; et al. (2010) Topological
multicritical point in the phase diagram of the toric code model and
three-dimensional lattice gauge Higgs model; Physical Review B; Vol.
82; No. 8; Art. No. 085114; 10.1103/PhysRevB.82.085114
- Conlon, David (2010) An
Extremal Theorem in the Hypercube; Electronic Journal of
Combinatorics; Vol. 17; Art. No. R111; 10.48550/arXiv.1005.0582
- Christiansen, Jacob S.; Simon, Barry; et al. (2010) Finite
Gap Jacobi Matrices, I. The Isospectral Torus; Constructive
Approximation; Vol. 32; No. 1; 1-65; 10.1007/s00365-009-9057-z
- Kapustin, Anton (2010) Topological
Field Theory, Higher Categories, and Their Applications; ISBN
9789814324335; ICM Proceedings; Hindustan Book Agency: New Delhi;
2021-2043; 10.48550/arXiv.1004.2307
- Mossel, Elchanan and Tamuz, Omer (2010) Iterative
maximum likelihood on networks; Advances in Applied Mathematics;
Vol. 45; No. 1; 36-49; 10.1016/j.aam.2009.11.004
- Hedden, Matthew and Ni, Yi (2010) Manifolds
with small Heegaard Floer ranks; Geometry and Topology; Vol. 14;
No. 3; 1479-1501; 10.2140/gt.2010.14.1479
- Aluffi, Paolo and Marcolli, Matilde (2010) Parametric
Feynman integrals and determinant hypersurfaces; Advances in
Theoretical and Mathematical Physics; Vol. 14; No. 3; 911-963; 10.48550/arXiv.0901.2107
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2010) Bipolaron
and N-Polaron Binding Energies; Physical Review Letters; Vol. 104;
No. 21; Art. No. 210402; 10.1103/PhysRevLett.104.210402
- Aschbacher, Michael (2010) Generation
of fusion systems of characteristic 2-type; Inventiones
Mathematicae; Vol. 180; No. 2; 225-299; 10.1007/s00222-009-0229-z
- Damanik, David; Killip, Rowan; et al. (2010) Perturbations
of orthogonal polynomials with periodic recursion coefficients;
Annals of Mathematics; Vol. 171; No. 3; 1931-2010; 10.4007/annals.2010.171.1931
- Poltoratski, Alexei; Simon, Barry; et al. (2010) The
Hilbert transform of a measure; Journal d’Analyse Mathématique; Vol.
111; No. 1; 247-265; 10.1007/s11854-010-0017-0
- Gukov, Sergei; Iqbal, Amer; et al. (2010) Link
Homologies and the Refined Topological Vertex; Communications in
Mathematical Physics; Vol. 298; No. 3; 757-785; 10.1007/s00220-010-1045-4
- Fidkowski, Lukasz and Kitaev, Alexei (2010) Effects
of interactions on the topological classification of free fermion
systems; Physical Review B; Vol. 81; No. 13; Art. No. 134509; 10.1103/PhysRevB.81.134509
- Levaillant, Claire and Wales, David (2010) Parameters
for which the Lawrence–Krammer representation is reducible; Journal
of Algebra; Vol. 323; No. 7; 1966-1982; 10.1016/j.jalgebra.2009.12.021
- Ku, Cheng Yeaw and Wales, David B. (2010) Eigenvalues
of the derangement graph; Journal of Combinatorial Theory. Series A;
Vol. 117; No. 3; 289-312; 10.1016/j.jcta.2009.10.002
- Breuer, Jonathan; Ryckman, Eric; et al. (2010) Equality
of the Spectral and Dynamical Definitions of Reflection;
Communications in Mathematical Physics; Vol. 295; No. 2; 531-550; 10.1007/s00220-009-0945-7
- Marcolli, Matilde (2010) Noncommutative
Geometry and Arithmetic; 10.48550/arXiv.1003.3662
- Aschbacher, Michael and Chermak, Andrew (2010) A
group-theoretic approach to a family of 2-local finite groups
constructed by Levi and Oliver; Annals of Mathematics; Vol. 171;
No. 2; 881-978
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2010) Equivalence
of Sobolev inequalities and Lieb-Thirring inequalities; ISBN
978-981-4304-62-7; XVIth International Congress on Mathematical Physics;
World Scientific: Singapore; 523-535; 10.1142/9789814304634_0045
- Kapustin, Anton; Willett, Brian; et al. (2010) Exact
results for Wilson loops in superconformal Chern-Simons theories with
matter; Journal of High Energy Physics; Vol. 2010; No. 3; Art.
No. 089; 10.1007/JHEP03(2010)089
- Etingof, Pavel; Henriques, André; et al. (2010) The
cohomology ring of the real locus of the moduli space of stable curves
of genus 0 with marked points; Annals of Mathematics; Vol. 171;
No. 2; 731-777; 10.4007/annals.2010.171.731
- Kapustin, Anton and Vyas, Ketan (2010) A-models
in three and four dimensions; 10.48550/arXiv.1002.4241
- Nakamura, Shin; Ooguri, Hirosi; et al. (2010) Gravity
dual of spatially modulated phase; Physical Review D; Vol. 81;
No. 4; Art. No. 044018; 10.1103/PhysRevD.81.044018
- Kapustin, Anton; Setter, Kevin; et al. (2010) Surface
operators in four-dimensional topological gauge theory and Langlands
duality; 10.48550/arXiv.1002.0385
- Dunfield, Nathan M. and Ramakrishnan, Dinakar (2010) Increasing
the number of fibered faces of arithmetic hyperbolic 3-manifolds;
American Journal of Mathematics; Vol. 132; No. 1; 53-97; 10.1353/ajm.0.0098
- Ooguri, Hirosi and Park, Chang-Soon (2010) Supersymmetric
non-relativistic geometries in M-theory; Nuclear Physics B; Vol.
824; No. 1-2; 136-153; 10.1016/j.nuclphysb.2009.08.021
- Conlon, David; Fox, Jacob; et al. (2010) Hypergraph
Ramsey numbers; Journal of the American Mathematical Society; Vol.
23; No. 1; 247-266; 10.1090/s0894-0347-09-00645-6
- Alday, Luis F.; Gaiotto, Davide; et al. (2010) Loop
and surface operators in N = 2 gauge theory and Liouville modular
geometry; Journal of High Energy Physics; Vol. 2010; No. 1; Art.
No. 113; 10.1007/JHEP01(2010)113
- Dimofte, Tudor and Gukov, Sergei (2010) Refined,
Motivic, and Quantum; Letters in Mathematical Physics; Vol. 91;
No. 1; 1-27; 10.1007/s11005-009-0357-9
- Gukov, Sergei and Witten, Edward (2010) Rigid
Surface Operators; Advances in Theoretical and Mathematical Physics;
Vol. 14; No. 1; 87-178; 10.4310/ATMP.2010.v14.n1.a3
- Rains, Eric M. (2010) Transformations
of elliptic hypergeometric integrals; Annals of Mathematics; Vol.
171; No. 1; 169-243; 10.4007/annals.2010.171.169
- Ceyhan, Özgür; Manin, Yu. I.; et al. (2010) Arithmetic
and Geometry Around Quantization; ISBN 978-0-8176-4830-5; 10.1007/978-0-8176-4831-2
- Avila, Artur; Last, Yoram; et al. (2010) Bulk
universality and clock spacing of zeros for ergodic Jacobi matrices with
absolutely continuous spectrum; Analysis & PDE; Vol. 3; No. 1;
81-108; 10.2140/apde.2010.3.81
- Abbaspour, Hossein; Marcolli, Matilde; et al. (2010) Deformation
Spaces: Perspectives on algebro-geometric moduli; ISBN
978-3-8348-1271-1; 10.1007/978-3-8348-9680-3
- Marcolli, Matilde (2010) Feynman
integrals and motives; 10.48550/arXiv.0907.0321
- Simon, Barry (2010) Fine
Structure of the Zeros of Orthogonal Polynomials: A Progress Report;
ISBN 978-0-8218-4803-6; Recent Trends in Orthogonal Polynomials and
Approximation Theory; American Mathematical Society: Providence, RI;
241-254
- Frank, Rupert L. and Laptev, Ari (2010) Inequalities
between Dirichlet and Neumann eigenvalues on the Heisenberg group;
International Mathematics Research Notices; Vol. 2010; No. 15;
2889-2902; 10.1093/imrn/rnp230
- Marcolli, Matilde (2010) Motivic
renormalization and singularities; ISBN 978-0-8218-5203-3; Quanta of
Maths: Conference in Honor of Alain Connes; American Mathematical
Society: Providence, RI; 409-458; 10.48550/arXiv.0804.4824v3
- Blanchard, Etienne; Ellwood, David; et al. (2010) Quanta
of Maths; ISBN 9780821852033
- Frank, Rupert L. and Seiringer, Robert (2010) Sharp
Fractional Hardy Inequalities in Half-Spaces; ISBN
978-1-4419-1340-1; Around the Research of Vladimir Maz’ya I; Springer
New York; 161-167; 10.1007/978-1-4419-1341-8_6
- Simon, Barry (2010) Szegő’s
Theorem and Its Descendants: Spectral Theory for L^2 Perturbations of
Orthogonal Polynomials; ISBN 9780691147048
- Rains, Eric M. (2010) The
homology of real subspace arrangements; Journal of Topology; Vol. 3;
No. 4; 786-818; 10.1112/jtopol/jtq027
- Wilson, Richard M. (2010) The
proportion of various graphs in graph-designs; ISBN
978-0-8218-4865-4; Combinatorics and Graphs; American Mathematical
Society: Providence, RI; 251-255
- Mossel, Elchanan and Tamuz, Omer (2010) Truthful
Fair Division; ISBN 978-3-642-16169-8; Algorithmic Game Theory;
Springer-Verlag: Berlin Heidelberg; 288-299; 10.1007/978-3-642-16170-4_25
- Kapustin, Anton and Saulina, Natalia (2009) Chern–Simons–Rozansky–Witten
topological field theory; Nuclear Physics B; Vol. 823; No. 3;
403-427; 10.1016/j.nuclphysb.2009.07.006
- Conlon, David (2009) On-line
Ramsey Numbers; SIAM Journal on Discrete Mathematics; Vol. 23;
No. 4; 1954-1963; 10.1137/090749220
- Christiansen, Jacob S.; Simon, Barry; et al. (2009) Finite
gap Jacobi matrices: An announcement; Journal of Computational and
Applied Mathematics; Vol. 233; No. 3; 652-662; 10.1016/j.cam.2009.02.081
- Ni, Yi (2009) Closed
3-braids are nearly fibred; Journal of Knot Theory and its
Ramifications; Vol. 18; No. 12; 1637-1649; 10.1142/S0218216509007701
- Rains, E. M. and Spiridonov, V. P. (2009) Determinants
of elliptic hypergeometric integrals; Functional Analysis and its
Applications; Vol. 43; No. 4; 297-311; 10.1007/s10688-009-0037-7
- Marcolli, Matilde (2009) Feynman
Motives; ISBN 978-981-4271-20-2; 10.1142/7245
- Ooguri, Hirosi (2009) Geometry
as seen by string theory; Japanese Journal of Mathematics; Vol. 4;
No. 2; 95-120; 10.1007/s11537-009-0833-0
- Kapustin, Anton; Katzarkov, Ludmil; et al. (2009) Homological
Mirror Symmetry for manifolds of general type; Central European
Journal of Mathematics; Vol. 7; No. 4; 571-605; 10.2478/s11533-009-0056-x
- Kapustin, Anton and Tikhonov, Mikhail (2009) Abelian
duality, walls and boundary conditions in diverse dimensions;
Journal of High Energy Physics; No. 11; Art. No. 006; 10.1088/1126-6708/2009/11/006
- Ooguri, Hirosi and Yamazaki, Masahito (2009) Crystal
Melting and Toric Calabi-Yau Manifolds; Communications in
Mathematical Physics; Vol. 292; No. 1; 179-199; 10.1007/s00220-009-0836-y
- Conlon, David (2009) Hypergraph
Packing and Sparse Bipartite Ramsey Numbers; Combinatorics,
Probability and Computing; Vol. 18; No. 6; 913-923; 10.1017/s0963548309990174
- Gils, Charlotte; Trebst, Simon; et al. (2009) Topology-driven
quantum phase transitions in time-reversal-invariant anyonic quantum
liquids; Nature Physics; Vol. 5; No. 11; 834-839; 10.1038/NPHYS1396
- Rej, Abhijnan and Marcolli, Matilde (2009) Motives:
an introductory survey for physicists; 10.48550/arXiv.0907.4046
- Aschbacher, Michael and Shareshian, John (2009) Restrictions
on the structure of subgroup lattices of finite alternating and
symmetric groups; Journal of Algebra; Vol. 322; No. 7; 2449-2463; 10.1016/j.jalgebra.2009.05.042
- Gukov, Sergei and Witten, Edward (2009) Branes
and quantization; Advances in Theoretical and Mathematical Physics;
Vol. 13; No. 5; 1445-1518; 10.4310/ATMP.2009.v13.n5.a5
- Forrester, Peter J. and Rains, Eric M. (2009) Matrix
averages relating to Ginibre ensembles; Journal of Physics A:
Mathematical and Theoretical; Vol. 42; No. 38; Art. No. 385205; 10.1088/1751-8113/42/38/385205
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2009) Müeller’s
Exchange-Correlation Energy in Density-Matrix-Functional Theory; 10.48550/arXiv.0705.1587
- Ni, Yi (2009) Link
Floer homology detects the Thurston norm; Geometry and Topology;
Vol. 13; No. 5; 2991-3019; 10.2140/gt.2009.13.2991
- Aschbacher, Michael (2009) Overgroups
of primitive groups, II; Journal of Algebra; Vol. 322; No. 5;
1586-1626; 10.1016/j.jalgebra.2009.04.044
- Frank, Rupert L. (2009) A
Simple Proof of Hardy-Lieb-Thirring Inequalities; Communications in
Mathematical Physics; Vol. 290; No. 2; 789-800; 10.1007/s00220-009-0759-7
- Conlon, David (2009) A
new upper bound for diagonal Ramsey numbers; Annals of Mathematics;
Vol. 170; No. 2; 941-960; 10.4007/annals.2009.170.941
- Cohen, Arjeh M.; Frenk, Bart; et al. (2009) Brauer
algebras of simply laced type; Israel Journal of Mathematics; Vol.
173; No. 1; 335-365; 10.1007/s11856-009-0095-9
- Marcolli, Matilde (2009) Cyclotomy
and Endomotives; P-Adic Numbers, Ultrametric Analysis, and
Applications; Vol. 1; No. 3; 217-263; 10.1134/S2070046609030042
- Lascoux, Alain; Rains, Eric M.; et al. (2009) Nonsymmetric
interpolation macdonald polynomials and gl_n basic hypergeometric
series; Transformation Groups; Vol. 14; No. 3; 613-647; 10.1007/s00031-009-9061-1
- Kapustin, Anton; Rozansky, Lev; et al. (2009) Three-dimensional
topological field theory and symplectic algebraic geometry I;
Nuclear Physics B; Vol. 816; No. 3; 295-355; 10.1016/j.nuclphysb.2009.01.027
- Ni, Yi (2009) Dehn
surgeries that yield fibred 3-manifolds; Mathematische Annalen; Vol.
344; No. 4; 863-876; 10.1007/s00208-008-0331-3
- Ni, Yi (2009) Heegaard
Floer homology and fibred 3-manifolds; American Journal of
Mathematics; Vol. 131; No. 4; 1047-1063; 10.1353/ajm.0.0064
- Aschbacher, Michael (2009) Overgroups
of Primitive Groups; Journal of the Australian Mathematical Sociey;
Vol. 87; No. 1; 37-82; 10.1017/S1446788708000785
- Conlon, David; Fox, Jacob; et al. (2009) Ramsey
numbers of sparse hypergraphs; Random Structures & Algorithms;
Vol. 35; No. 1; 1-14; 10.1002/rsa.20260
- Breuer, Jonathan and Frank, Rupert L. (2009) Singular
spectrum for radial trees; Reviews in Mathematical Physics; Vol. 21;
No. 7; 929-945; 10.1142/S0129055X09003773
- Frank, Rupert L. (2009) A
note on low energy scattering for homogeneous long range potentials;
Annales Henri Poincaré; Vol. 10; No. 3; 573-575; 10.1007/s00023-009-0410-3
- Kapustin, Anton and Saulina, Natalia (2009) The
algebra of Wilson–’t Hooft operators; Nuclear Physics B; Vol. 814;
No. 1-2; 327-365; 10.1016/j.nuclphysb.2009.02.004
- van de Bult, Fokko J. and Rains, Eric M. (2009) Basic
Hypergeometric Functions as Limits of Elliptic Hypergeometric
Functions; Symmetry, Integrability and Geometry, Methods and
Applications (SIGMA); Vol. 5; No. 59; 10.3842/SIGMA.2009.059
- Ai, Yinghua and Ni, Yi (2009) Two
applications of twisted Floer homology; International Mathematics
Research Notices; Vol. 2009; No. 19; 3726-3746; 10.1093/imrn/rnp070
- Connes, Alain; Consani, Caterina; et al. (2009) Fun
with F_1; Journal of Number Theory; Vol. 129; No. 6; 1532-1561; 10.1016/j.jnt.2008.08.007
- Rains, Eric M. (2009) The
action of S_n on the cohomology of M_(0,n)(R); Selecta Mathematica -
New Series; Vol. 15; No. 1; 171-188; 10.1007/s00029-008-0467-8
- Frank, Rupert L. and Lenzmann, Enno (2009) Uniqueness
of ground states for the L^2-critical boson star equation; 10.48550/arXiv.0905.3105
- Kitaev, Alexei (2009) Periodic
table for topological insulators and superconductors; ISBN
978-0-7354-0671-1; Advances In Theoretical Physics: Landau Memorial
Conference Chernogolokova (Russia), 22–26 June 2008; American Institute
of Physics: New York, NY; 22-30; 10.1063/1.3149495
- Cantero, María José and Simon, Barry (2009) Poisson
brackets of orthogonal polynomials; Journal of Approximation Theory;
Vol. 158; No. 1; 3-48; 10.1016/j.jat.2007.07.001
- Ooguri, Hirosi and Yamazaki, Masahito (2009) Emergent
Calabi-Yau geometry; Physical Review Letters; Vol. 102; No. 16;
161601; 10.1103/PhysRevLett.102.161601
- Rains, Eric M. (2009) Limits
of elliptic hypergeometric integrals; Ramanujan Journal; Vol. 18;
No. 3; 257-306; 10.1007/s11139-007-9055-3
- Kreimer, Yury; Last, Yoram; et al. (2009) Monotone
Jacobi parameters and non-Szegő weights; Journal of Approximation
Theory; Vol. 157; No. 2; 144-171; 10.1016/j.jat.2008.04.020
- Cohen, Arjeh M.; Gijsbers, Dié A. H.; et al. (2009) Tangle
and Brauer diagram algebras of type D_n; Journal of Knot Theory and
its Ramifications; Vol. 18; No. 4; 447-483; 10.1142/S0218216509007063
- Frank, Rupert L. (2009) Remarks
on eigenvalue estimates and semigroup domination; 10.48550/arXiv.0903.0561
- Simon, Barry (2009) A
Celebration of Jürg and Tom; Journal of Statistical Physics; Vol.
134; No. 5-6; 809-812; 10.1007/s10955-008-9627-7
- Wilson, Richard M. (2009) On
set systems with restricted intersections modulo p and p-ary
t-designs; Discrete Mathematics; Vol. 309; No. 3; 606-612; 10.1016/j.disc.2008.09.025
- Ooguri, Hirosi; Ookouchi, Yutaka; et al. (2009) Current
correlators for general gauge mediation; Nuclear Physics B; Vol.
808; No. 1-2; 121-136; 10.1016/j.nuclphysb.2008.09.017
- Simon, Barry (2009) Weak
convergence of CD kernels and applications; Duke Mathematical
Journal; Vol. 146; No. 2; 305-330; 10.1215/00127094-2008-067
- Simon, Barry (2009) Regularity
and the Cesàro–Nevai class; Journal of Approximation Theory; Vol.
156; No. 2; 142-153; 10.1016/j.jat.2008.04.016
- Simon, Barry (2009) Weak
convergence of CD kernels and applications; Duke Mathematical
Journal; Vol. 146; No. 2; 305-330; 10.1215/00127094-2008-067
- Flach, Matthias (2009) Iwasawa
Theory and Motivic L-functions; Pure and Applied Mathematics
Quarterly; Vol. 5; No. 1, Sp.; 255-294
- Dimofte, Tudor; Gukov, Sergei; et al. (2009) Exact
Results for Perturbative Chern-Simons Theory with Complex Gauge
Group; Communications in Number Theory and Physics; Vol. 3; No. 2;
363-443; 10.4310/CNTP.2009.v3.n2.a4
- Murre, Jacob and Ramakrishnan, Dinakar (2009) Local
Galois Symbols on E × E; ISBN 978-0-8218-4494-6; Motives and
algebraic cycles : a celebration in honour of Spencer J. Bloch; American
Mathematical Society; 257-291; 10.48550/arXiv.0808.1129
- Cook, Paul L. H.; Ooguri, Hirosi; et al. (2009) New
Anomalies in Topological String Theory; Progress of Theoretical
Physics Supplement; Vol. 2009; No. 177; 120-127; 10.1143/PTPS.177.120
- Ramakrishnan, Dinakar (2009) Remarks
on the Symmetric Powers of Cusp Forms on GL(2); Contemporary
Mathematics; Vol. 488; 237-256
- Simon, Barry (2009) Schrödinger
operators with purely discrete spectrum; Methods of Functional
Analysis and Topology; Vol. 15; No. 1; 61-66
- Aschbacher, Michael (2009) Signalizer
lattices in finite groups; Michigan Mathematical Journal; Vol. 58;
No. 1; 79-103; 10.1307/mmj/1242071684
- Ioana, Adrian; Kechris, Alexander S.; et al. (2009) Subequivalence
relations and positive-definite functions; Groups, Geometry, and
Dynamics; Vol. 3; No. 4; 579-625; 10.48550/arXiv.0806.0430
- Killip, Rowan and Simon, Barry (2009) Sum
rules and spectral measures of Schrödinger operators with L^2
potentials; Annals of Mathematics; Vol. 170; No. 2; 739-782; 10.48550/arXiv.0608767
- Gukov, Sergei (2009) Surface
Operators and Knot Homologies; ISBN 978-90-481-2809-9; New Trends in
Mathematical Physics; Springer Netherlands: Berlin Heidelberg; 313-343;
10.1007/978-90-481-2810-5_22
- Lagarias, Jeffrey C.; Rains, Eric; et al. (2009) The
Kruskal Count; ISBN 978-3-540-79127-0; The Mathematics of
Preference, Choice and Order: Essays in Honor of Peter C. Fishburn;
Springer: Berlin; 371-391; 10.1007/978-3-540-79128-7_23
- Frank, Rupert L. and Seiringer, Robert (2008) Non-linear
ground state representations and sharp Hardy inequalities; Journal
of Functional Analysis; Vol. 255; No. 12; 3407-3430; 10.1016/j.jfa.2008.05.015
- Faoro, Lara; Kitaev, Alexei; et al. (2008) Quasiparticle
Poisoning and Josephson Current Fluctuations Induced by Kondo
Impurities; Physical Review Letters; Vol. 101; No. 24; Art.
No. 247002; 10.1103/PhysRevLett.101.247002
- Marcolli, Matilde and Zainy al-Yasry, Ahmad (2008) Coverings,
correspondences, and noncommutative geometry; Journal of Geometry
and Physics; Vol. 58; No. 12; 1639-1661; 10.1016/j.geomphys.2008.07.007
- Gukov, Sergei and Murakami, Hitoshi (2008) SL(2,C)
Chern–Simons Theory and the Asymptotic Behavior of the Colored Jones
Polynomial; Letters in Mathematical Physics; Vol. 86; No. 2-3;
79-98; 10.1007/s11005-008-0282-3
- Ooguri, Hirosi and Park, Chang-Soon (2008) Superconformal
Chern-Simons theories and the squashed seven sphere; Journal of High
Energy Physics; Vol. 2008; No. 11; Art. No. 082; 10.1088/1126-6708/2008/11/082
- Boileau, Michel; Ni, Yi; et al. (2008) On
standard forms of 1-dominations between knots with same Gromov
volumes; Communications in Contemporary Mathematics; Vol. 10;
No. S1; 857-870; 10.1142/S0219199708003071
- Gukov, Sergei and Witten, Edward (2008) Gauge
Theory, Ramification, And The Geometric Langlands Program; Current
Developments in Mathematics; Vol. 2006; 35-180; 10.4310/CDM.2006.v2006.n1.a2
- Simon, Barry (2008) Two
extensions of Lubinsky’s universality theorem; Journal d’Analyse
Mathématique; Vol. 105; No. 1; 345-362; 10.1007/s11854-008-0039-z
- Kechris, Alexander S. and Woodin, W. Hugh (2008) Generic
codes for uncountable ordinals, partition properties, and elementary
embeddings; ISBN 9780521899512; The Cabal Seminar. Volume I - Games,
Scales, and Suslin Cardinals; Association for Symbolic Logic: Chicago,
IL; 379-397
- Kechris, Alexander S. and Woodin, W. Hugh (2008) The
equivalence of partition properties and determinacy; ISBN
9780521899512; The Cabal Seminar. Volume I - Games, Scales, and Suslin
Cardinals; Association for Symbolic Logic: Chicago, IL; 355-378
- Kapustin, A. N. (2008) Gauge
Theory, Mirror Symmetry, and the Geometric Langlands Program; ISBN
978-3-540-68029-1; Homological Mirror Symmetry; Springer: Berlin;
103-124; 10.1007/978-3-540-68030-7_4
- Schlesinger, Karl-Georg; Kreuzer, Maximilian; et al. (2008) Homological
Mirror Symmetry: New Developments and Perspectives; ISBN
978-3-540-68029-1; Homological Mirror Symmetry; Springer: Berlin; 10.1007/978-3-540-68030-7
- Marcolli, Matilde and Rej, Abhijnan (2008) Supermanifolds
from Feynman graphs; Journal of Physics A: Mathematical and
Theoretical; Vol. 41; No. 31; 315402; 10.1088/1751-8113/41/31/315402
- Conlon, David (2008) A
new upper bound for the bipartite Ramsey problem; Journal of Graph
Theory; Vol. 58; No. 4; 351-356; 10.1002/jgt.20317
- Frank, Rupert L.; Simon, Barry; et al. (2008) Eigenvalue
Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices
With Regular Ground States; Communications in Mathematical Physics;
Vol. 282; No. 1; 199-208; 10.1007/s00220-008-0453-1
- Aschbacher, Michael (2008) On
a question of Farjoun; ISBN 978-3-11-019812-6; Finite Groups 2003 :
Proceedings of the Gainesville Conference on Finite Groups; De Gruyter:
Berlin; 1-28; 10.1515/9783110198126.1
- Draganova, Anna; Mutoh, Yukiyasu; et al. (2008) More
on decompositions of edge-colored complete graphs; Discrete
Mathematics; Vol. 308; No. 14; 2926-2943; 10.1016/j.disc.2007.08.044
- Frank, Rupert L.; Siedentop, Heinz; et al. (2008) The
Energy of Heavy Atoms According to Brown and Ravenhall: The Scott
Correction; 10.48550/arXiv.0805.4441
- Aluffi, Paolo and Marcolli, Matilde (2008) Feynman
motives of banana graphs; 10.48550/arXiv.0807.1690
- Aschbacher, Michael (2008) Normal
subsystems of fusion systems; Proceedings of the London Mathematical
Society; Vol. 97; No. 1; 239-271; 10.1112/plms/pdm057
- Kitaev, Alexei and Laumann, Christopher (2008) Topological
phases and quantum computation; ISBN 0-19-957461-8; Exact methods in
low-dimensional statistical physics and quantum computing; Oxford
University Press: Oxford; 101-125; 10.48550/arXiv.0904.2771
- Simon, Barry (2008) The
Christoffel-Darboux Kernel; 10.48550/arXiv.0806.1528
- Flach, M. (2008) Cohomology
of topological groups with applications to the Weil group;
Compositio Mathematica; Vol. 144; No. 03; 633-656; 10.1112/s0010437x07003338
- Cornelissen, Gunther; Lorscheid, Oliver; et al. (2008) On the
K-Theory of Graph C^∗-Algebras; Acta Applicandae Mathematicae; Vol.
102; No. 1; 57-69; 10.1007/s10440-008-9208-4
- Cornelissen, Gunther and Marcolli, Matilde (2008) Zeta
functions that hear the shape of a Riemann surface; Journal of
Geometry and Physics; Vol. 58; No. 5; 619-632; 10.1016/j.geomphys.2007.12.011
- Hundertmark, Dirk and Simon, Barry (2008) Eigenvalue
bounds in the gaps of Schrödinger operators and Jacobi matrices;
Journal of Mathematical Analysis and Applictions; Vol. 340; No. 2;
892-900; 10.1016/j.jmaa.2007.08.059
- Last, Yoram and Simon, Barry (2008) Fine
structure of the zeros of orthogonal polynomials IV: A priori bounds and
clock behavior; Communications on Pure and Applied Mathematics; Vol.
61; No. 4; 486-538; 10.1002/cpa.20185
- Ooguri, Hirosi; Ookouchi, Yutaka; et al. (2008) Metastable
vacua in perturbed Seiberg-Witten theories; Advances in Theoretical
and Mathematical Physics; Vol. 12; No. 2; 405-427; 10.48550/arXiv.0704.3613
- Aschbacher, Michael (2008) On
intervals in subgroup lattices of finite groups; Journal of the
American Mathematical Society; Vol. 21; No. 3; 809-830; 10.1090/S0894-0347-08-00602-4
- Etingof, Pavel and Rains, Eric (2008) New
Deformations of Group Algebras of Coxeter Groups, II; Geometric and
Functional Analysis; Vol. 17; No. 6; 1851-1871; 10.1007/s00039-007-0642-7
- Frank, Rupert L.; Siedentop, Heinz; et al. (2008) The
Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading
Energy Correction; Communications in Mathematical Physics; Vol. 278;
No. 2; 549-566; 10.1007/s00220-007-0397-x
- Henderson, Anthony and Rains, Eric (2008) The
cohomology of real De Concini–Procesi models of Coxeter type;
International Mathematics Research Notices; Vol. 2008; Art. No. rnn001;
10.1093/imrn/rnn001
- Mantovan, Elena (2008) A
compactification of Igusa varieties; Mathematische Annalen; Vol.
340; No. 2; 265-292; 10.1007/s00208-007-0149-4
- Damanik, David; Pushnitski, Alexander; et al. (2008) The
Analytic Theory of Matrix Orthogonal Polynomials; Surveys in
Approximation Theory; Vol. 4; 1-85; 10.48550/arXiv.0711.2703
- Kechris, Alexander S. and Miller, Benjamin D. (2008) Means
on equivalence relations; Israel Journal of Mathematics; Vol. 163;
No. 1; 241-262; 10.1007/s11856-008-0011-8
- Kechris, Alexander S. (2008) A
coding theorem for measures; ISBN 9780521899512; Games, Scales and
Suslin Cardinals: The Cabal Seminar, Volume I; Cambridge University
Press: Cambridge; 398-403; 10.1017/CBO9780511546488.020
- Kechris, Alexander S. and Tsankov, Todor (2008) Amenable
actions and almost invariant sets; Proceedings of the American
Mathematical Society; Vol. 136; No. 2; 687-697; 10.1090/S0002-9939-07-09116-2
- Günther, Annika; Nebe, Gabriele; et al. (2008) Clifford-Weil
groups of quotient representations; Albanian Journal of Mathematics;
Vol. 2; No. 3; 159-169
- Gaberdiel, Matthias R.; Gukov, Sergei; et al. (2008) Extremal
N = (2, 2) 2D Conformal Field Theories and Constraints of
Modularity; Communications in Number Theory and Physics; Vol. 2;
No. 4; 743-801; 10.4310/CNTP.2008.v2.n4.a3
- Kechris, Alexander S.; Löwe, Benedikt; et al. (2008) Games,
Scales and Suslin Cardinals: The Cabal Seminar, Volume I; ISBN
9780521899512; 10.1017/CBO9780511546488
- Ekholm, Tomas and Frank, Rupert (2008) Lieb–Thirring
inequalities on the half-line with critical exponent; European
Mathematical Society; Vol. 10; No. 3; 739-755; 10.4171/JEMS/128
- Manin, Yuri I. and Marcolli, Matilde (2008) Modular
shadows and the Levy-Mellin ∞-adic transform; ISBN 9780521493543;
Modular Forms on Schiermonnikoog; Cambridge University Press: Cambridge;
189-238; 10.1017/CBO9780511543371.012
- Kechris, Alexander S. and Moschovakis, Yiannis N. (2008) Notes
on the theory of scales; ISBN 9780511546488; Games, Scales and
Suslin Cardinals: The Cabal Seminar, Volume I; Cambridge University
Press: Cambridge; 28-74; 10.1017/cbo9780511546488.003
- Mantovan, Elena (2008) On
Non-Basic Rapoport-Zink Spaces; Annales Scientifiques de l’École
Normale Supérieure; Vol. 41; No. 5; 671-716; 10.24033/asens.2079
- Geszetsy, Fritz; Pushnitski, Alexander; et al. (2008) On the
Koplienko Spectral Shift Function. I. Basics; Journal of
Mathematical Physics, Analysis and Geometry; Vol. 4; No. 1; 63-107; 10.48550/arXiv.0705.3629
- Kechris, Alexander S.; Löwe, Benedikt; et al. (2008) Preface;
ISBN 9780511546488; Games, Scales and Suslin Cardinals: The Cabal
Seminar, Volume I; Cambridge University Press: Cambridge; ix-xi; 10.1017/cbo9780511546488.001
- Kechris, Alexander S. (2008) Suslin
cardinals, k-Suslin sets, and the scale property in the hyperprojective
hierarchy; ISBN 9780511546488; Games, Scales and Suslin Cardinals:
The Cabal Seminar, Volume I; Cambridge University Press: Cambridge;
314-332; 10.1017/cbo9780511546488.016
- Kechris, Alexander S.; Kleinber, Eugene M.; et al. (2008) The
axiom of determinacy, strong partition properties, and nonsingular
measures; ISBN 9780521899512; Games, Scales and Suslin Cardinals:
The Cabal Seminar, Volume I; Cambridge University Press: Cambridge;
333-354; 10.1017/CBO9780511546488.017
- Marsano, Joseph; Ooguri, Hirosi; et al. (2007) Metastable
Vacua in Perturbed Seiberg-Witten Theories, Part 2: Fayet-Iliopoulos
Terms and Kähler Normal Coordinates; 10.48550/arXiv.0712.3305
- Frank, Rupert L.; Laptev, Ari; et al. (2007) Eigenvalue
estimates for magnetic Schrödinger operators in domains; Proceedings
of the American Mathematical Society; Vol. 136; No. 12; 4245-4255; 10.1090/S0002-9939-08-09523-3
- Ni, Yi (2007) Knot
Floer homology detects fibred knots; Inventiones Mathematicae; Vol.
170; No. 3; 577-608; 10.1007/s00222-007-0075-9
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2007) Number
of Bound States of Schröedinger Operators with Matrix-Valued
Potentials; Letters in Mathematical Physics; Vol. 82; No. 2-3;
107-116; 10.1007/s11005-007-0211-x
- Forrester, Peter J. and Rains, Eric M. (2007) Symmetrized
Models of Last Passage Percolation and Non-Intersecting Lattice
Paths; Journal of Statistical Physics; Vol. 129; No. 5-6; 833-855;
10.1007/s10955-007-9413-y
- Frank, Rupert L.; Hainzl, Christian; et al. (2007) The
critical temperature for the BCS equation at weak coupling; Journal
of Geometric Analysis; Vol. 17; No. 4; 559-567; 10.1007/BF02937429
- Rains, Eric M. and Vazirani, Monica (2007) Vanishing
Integrals of Macdonald and Koornwinder polynomials; Transformation
Groups; Vol. 12; No. 4; 725-759; 10.1007/S00031-007-0058-3
- Conlon, David (2007) A
note on lower bounds for hypergraph Ramsey numbers; 10.48550/arXiv.0711.5004
- Frank, Rupert L. and Laptev, Ari (2007) Spectral
inequalities for Schrödinger operators with surface potentials; 10.48550/arXiv.0711.3473
- Simon, Barry (2007) Equilibrium
measures and capacities in spectral theory; 10.48550/arXiv.0711.2700
- Ekholm, Tomas; Frank, Rupert L.; et al. (2007) Remarks
about Hardy inequalities on metric trees
- Marcolli, Matilde (2007) Solvmanifolds
and noncommutative tori with real multiplication; 10.48550/arXiv.0711.2036
- Simon, Barry (2007) CMV
matrices: Five years after; Journal of Computational and Applied
Mathematics; Vol. 208; No. 1; 120-154; 10.1016/j.cam.2006.10.033
- Kapustin, Anton and Tomasiello, Alessandro (2007) [The general
(2,
- gauged sigma model with three-form
flux](https://resolver.caltech.edu/CaltechAUTHORS:KAPjhep07); Journal of
High Energy Physics; Vol. 2007; No. 11; Art. No. 053; 10.1088/1126-6708/2007/11/053
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2007) Hardy-Lieb-Thirring
inequalities for fractional Schrödinger operators; Journal of the
American Mathematical Society; Vol. 21; No. 4; 925-950; 10.1090/S0894-0347-07-00582-6
- Ramakrishnan, Dinakar (2007) Irreducibility
and Cuspidality; ISBN 978-0-8176-4505-2; Representation theory and
automorphic forms; Birkhäuser: Boston; 1-27; 10.1007/978-0-8176-4646-2_1
- Frank, Rupert L. and Hansson, Anders (2007) Eigenvalue
estimates for the Aharonov-Bohm operator in a domain; 10.48550/arXiv.0710.1089
- Frank, Rupert L.; Loss, Michael; et al. (2007) Pόlya’s
conjecture in the presence of a constant magnetic field; 10.48550/arXiv.0710.1078
- Connes, Alain; Consani, Caterina; et al. (2007) Noncommutative
geometry and motives: the thermodynamics of endomotives; Advances in
Mathematics; Vol. 214; No. 2; 761-831; 10.1016/j.aim.2007.03.006
- van de Bult, F. J.; Rains, E. M.; et al. (2007) Properties
of Generalized Univariate Hypergeometric Functions; Communications
in Mathematical Physics; Vol. 275; No. 1; 37-95; 10.1007/s00220-007-0289-0
- Frank, Rupert L.; Lieb, Elliott H.; et al. (2007) Stability
of Relativistic Matter with Magnetic Fields for Nuclear Charges up to
the Critical Value; Communications in Mathematical Physics; Vol.
275; No. 2; 479-489; 10.1007/s00220-007-0307-2
- Aganagic, Mina; Okuda, Takuya; et al. (2007) Quantum
Entanglement of Baby Universes; Nuclear Physics B; Vol. 778;
No. 1-2; 36-68; 10.1016/j.nuclphysb.2007.04.006
- Kawano, Teruhiko; Ooguri, Hirosi; et al. (2007) Gauge
mediation in string theory; Physics Letters B; Vol. 652; No. 1;
40-42; 10.1016/j.physletb.2007.06.056
- Feldman, D. E.; Gefen, Yuval; et al. (2007) Shot noise
in an anyonic Mach-Zehnder interferometer; Physical Review B; Vol.
76; No. 8; Art. No. 085333; 10.1103/PhysRevB.76.085333
- Boileau, Michel; Ni, Yi; et al. (2007) Pseudo-Anosov
extensions and degree one maps between hyperbolic surface bundles;
Mathematische Zeitschrift; Vol. 256; No. 4; 913-923; 10.1007/s00209-007-0113-8
- Green, Michael B.; Ooguri, Hirosi; et al. (2007) Nondecoupling
of Maximal Supergravity from the Superstring; Physical Review
Letters; Vol. 99; No. 4; Art. No. 041601; 10.1103/PhysRevLett.99.041601
- Etingof, Pavel; Oblomkov, Alexei; et al. (2007) Generalized
double affine Hecke algebras of rank 1 and quantized del Pezzo
surfaces; Advances in Mathematics; Vol. 212; No. 2; 749-796; 10.1016/j.aim.2006.11.008
- Etingof, Pavel; Latour, Frédéric; et al. (2007) On
central extensions of preprojective algebras; Journal of Algebra;
Vol. 313; No. 1; 165-175; 10.1016/j.jalgebra.2006.11.040
- Frank, Rupert L. (2007) On
the asymptotic number of edge states for magnetic Schrödinger
operators; Proceedings of the London Mathematical Society; Vol. 95;
No. 1; 1-19; 10.1112/plms/pdl024
- Conlon, David; Jungić, Veselin; et al. (2007) On
the Existence of Rainbow 4-Term Arithmetic Progressions; Graphs and
Combinatorics; Vol. 23; No. 3; 249-254; 10.1007/s00373-007-0723-2
- Benguria, Rafael D.; Frank, Rupert L.; et al. (2007) The
sharp constant in the Hardy-Sobolev-Maz’ya inequality in the three
dimensional upper half-space; 10.48550/arXiv.0705.3833
- Simon, B. (2007) Meromorphic
Jost functions and asymptotic expansions for Jacobi parameters;
Functional Analysis and its Applications; Vol. 41; No. 2; 143-153; 10.1007/s10688-007-0013-z
- Simon, Barry (2007) Rank
one perturbations and the zeros of paraorthogonal polynomials on the
unit circle; Journal of Mathematical Analysis and Applictions; Vol.
329; No. 1; 376-382; 10.1016/j.jmaa.2006.06.076
- Feiguin, Adrian; Trebst, Simon; et al. (2007) Interacting
Anyons in Topological Quantum Liquids: The Golden Chain; Physical
Review Letters; Vol. 98; No. 16; Art. No. 160409; 10.1103/PhysRevLett.98.160409
- Shporer, A.; Tamuz, O.; et al. (2007) Photometric
follow-up of the transiting planet WASP-1b; Monthly Notices of the
Royal Astronomical Society; Vol. 376; No. 3; 1296-1300; 10.1111/j.1365-2966.2007.11537.x
- Exner, Pavel and Frank, Rupert L. (2007) Absolute
Continuity of the Spectrum for Periodically Modulated Leaky Wires in
R^3; Annales Henri Poincaré; Vol. 8; No. 2; 241-263; 10.1007/s00023-006-0307-3
- Gukov, Sergei; Motl, Luboš; et al. (2007) Equivalence
of twistor prescriptions for super Yang-Mills; Advances in
Theoretical and Mathematical Physics; Vol. 11; No. 2; 199-231; 10.4310/ATMP.2007.v11.n2.a1
- Consani, Caterina and Marcolli, Matilde (2007) Quantum
statistical mechanics over function fields; Journal of Number
Theory; Vol. 123; No. 2; 487-528; 10.1016/j.jnt.2006.12.002
- Kitano, Ryuichiro; Ooguri, Hirosi; et al. (2007) Direct
mediation of metastable supersymmetry breaking; Physical Review D;
Vol. 75; No. 4; Art. No. 045022; 10.1103/PhysRevD.75.045022
- Kechris, Alexander S. and Rosendal, Christian (2007) Turbulence,
amalgamation, and generic automorphisms of homogeneous structures;
Proceedings of the London Mathematical Society; Vol. 94; No. 2; 302-350;
10.1112/plms/pdl007
- Aschbacher, Michael; Childs, Andrew M.; et al. (2007) The
limitations of nice mutually unbiased bases; Journal of Algebraic
Combinatorics; Vol. 25; No. 2; 111-123; 10.1007/s10801-006-0002-y
- Simon, Barry (2007) Zeros
of OPUC and long time asymptotics of Schur and related flows;
Inverse Problems and Imaging; Vol. 1; No. 1; 189-215; 10.3934/ipi.2007.1.189
- Kechris, A. S. (2007) Unitary
representations and modular actions; Journal of Mathematical
Sciences; Vol. 140; No. 3; 398-425; 10.1007/s10958-007-0449-y
- Aschbacher, Michael; Guralnick, Robert; et al. (2007) Elementary
abelian 2-subgroups of Sidki-type in finite groups; Groups,
Geometry, and Dynamics; Vol. 1; No. 4; 347-400; 10.4171/GGD/18
- Simon, Barry (2007) Fine
Structure of the Zeros of Orthogonal Polynomials: A Review; ISBN
9789812706430; Proceedings of the international conference, difference
equations, special functions and orthogonal polynomials : Munich,
Germany, 25-30 July 2005; World Scientific Publishing Co.: Singapore;
636-653; 10.1142/9789812770752_0055
- Chamseddine, Ali H.; Connes, Alain; et al. (2007) Gravity and
the standard model with neutrino mixing; Advances in Theoretical and
Mathematical Physics; Vol. 11; No. 6; 991-1089; 10.4310/ATMP.2007.v11.n6.a3
- Simon, Barry (2007) Orthogonal
polynomials with exponentially decaying recursion coefficients; ISBN
9780821840894; Probability and mathematical physics : a volume in honor
of Stanislav Molchanov; American Mathematical Society: Providence, RI;
453-463; 10.48550/arXiv.0603099
- Kapustin, Anton and Li, Yi (2007) Topological
sigma-models with H-flux and twisted generalized complex manifolds;
Advances in Theoretical and Mathematical Physics; Vol. 11; No. 2;
269-290; 10.4310/ATMP.2007.v11.n2.a3
- Keevash, Peter; Mubayi, Dhruv; et al. (2006) Set
Systems with No Singleton Intersection; SIAM Journal on Discrete
Mathematics; Vol. 20; No. 4; 1031-1041; 10.1137/050647372
- Mazeh, T.; Tamuz, O.; et al. (2006) The
Sys-Rem Detrending Algorithm: Implementation and Testing; 10.48550/arXiv.0612418
- Kapustin, Anton (2006) Holomorphic
reduction of N = 2 gauge theories, Wilson-’t Hooft operators, and
S-duality; 10.48550/arXiv.0612119
- Wilson, Richard M. (2006) A
lemma on polynomials modulo p^m and applications to coding theory;
Discrete Mathematics; Vol. 306; No. 23; 3154-3165; 10.1016/j.disc.2004.10.030
- Last, Yoram and Simon, Barry (2006) The
Essential Spectrum of Schrödinger, Jacobi, and CMV Operators;
Journal d’Analyse Mathématique; Vol. 98; No. 1; 183-220; 10.1007/BF02790275
- Mazeh, Tsevi; Tamuz, Omer; et al. (2006) Analysis
of the eclipsing binaries in the LMC discovered by OGLE: period
distribution and frequency of the short-period binaries; 10.48550/arXiv.0611482
- Bartholdi, Laurent; Enriquez, Benjamin; et al. (2006) Groups
and Lie algebras corresponding to the Yang–Baxter equations; Journal
of Algebra; Vol. 305; No. 2; 742-764; 10.1016/j.jalgebra.2005.12.006
- Feldman, D. E. and Kitaev, Alexei (2006) Detecting
Non-Abelian Statistics with an Electronic Mach-Zehnder
Interferometer; Physical Review Letters; Vol. 97; No. 18; Art.
No. 186803
- Heninger, Nadia; Rains, E. M.; et al. (2006) On
the integrality of nth roots of generating functions; Journal of
Combinatorial Theory. Series A; Vol. 113; No. 8; 1732-1745; 10.1016/j.jcta.2006.03.018
- Dijkgraaf, Robbert; Gopakumar, Rajesh; et al. (2006) Baby
universes and string theory; International Journal of Modern Physics
D; Vol. 15; No. 10; 1581-1586; 10.1142/S0218271806008978
- Conlon, David (2006) Rainbow
solutions of linear equations over ℤ_p; Discrete Mathematics; Vol.
306; No. 17; 2056-2063; 10.1016/j.disc.2006.03.070
- Frank, Rupert L.; Laptev, Ari; et al. (2006) Lieb–Thirring
Inequalities for Schrödinger Operators with Complex-valued
Potentials; Letters in Mathematical Physics; Vol. 77; No. 3;
309-316; 10.1007/s11005-006-0095-1
- Davies, E. B. and Simon, B. (2006) Eigenvalue
estimates for non-normal matrices and the zeros of random orthogonal
polynomials on the unit circle; Journal of Approximation Theory;
Vol. 141; No. 2; 189-213; 10.1016/j.jat.2006.03.006
- Kapustin, Anton (2006) Wilson-’t
Hooft operators in four-dimensional gauge theories and S-duality;
Physical Review D; Vol. 74; No. 2; Art. No. 025005; 10.1103/PhysRevD.74.025005
- Jiang, Boju; Ni, Yi; et al. (2006) Embedding
infinite cyclic covers of knot spaces into 3-space; Topology; Vol.
45; No. 4; 691-705; 10.1016/j.top.2006.01.005
- Simon, Barry (2006) Fine
structure of the zeros of orthogonal polynomials III: Periodic recursion
coefficients; Communications on Pure and Applied Mathematics; Vol.
59; No. 7; 1042-1062; 10.1002/cpa.20106
- Aschbacher, Michael; Kinyon, Michael K.; et al. (2006) Finite
Bruck loops; Transactions of the American Mathematical Society; Vol.
358; No. 7; 3061-3075; 10.1090/S0002-9947-05-03778-5
- Damanik, David and Simon, Barry (2006) Jost
functions and Jost solutions for Jacobi matrices, I. A necessary and
sufficient condition for Szegő asymptotics; Inventiones
Mathematicae; Vol. 165; No. 1; 1-50; 10.1007/s00222-005-0485-5
- Ni, Yi (2006) A
note on knot Floer homology of links; Geometry and Topology; Vol.
10; No. 2; 695-713; 10.2140/gt.2006.10.695
- Rains, Eric M. and Vazirani, Monica J. (2006) Quadratic
transformations of Macdonald and Koornwinder polynomials; 10.48550/arXiv.0606204
- Argyres, Philip C.; Kapustin, Anton; et al. (2006) On
S-duality for non-simply-laced gauge groups; Journal of High Energy
Physics; Vol. 2006; No. 6; Art. No. 043; 10.1088/1126-6708/2006/06/043
- Etingof, Pavel and Rains, Eric (2006) Central
extensions of preprojective algebras, the quantum Heisenberg algebra,
and 2-dimensional complex reflection groups; Journal of Algebra;
Vol. 299; No. 2; 570-588; 10.1016/j.jalgebra.2006.01.005
- Tamuz, O.; Mazeh, T.; et al. (2006) Automated
analysis of eclipsing binary light curves - I. EBAS - a new Eclipsing
Binary Automated Solver with EBOP; Monthly Notices of the Royal
Astronomical Society; Vol. 367; No. 4; 1521-1530; 10.1111/j.1365-2966.2006.10049.x
- Mazeh, T.; Tamuz, O.; et al. (2006) Automated
analysis of eclipsing binary light curves - II. Statistical analysis of
OGLE LMC eclipsing binaries; Monthly Notices of the Royal
Astronomical Society; Vol. 367; No. 4; 1531-1542; 10.1111/j.1365-2966.2006.10050.x
- Kapustin, Anton and Witten, Edward (2006) Electric-Magnetic
Duality And The Geometric Langlands Program; 10.48550/arXiv.0604151
- Cornelissen, Gunther; Marcolli, Matilde; et al. (2006) Noncommutative
geometry on trees and buildings; 10.48550/arXiv.0604114
- Ni, Yi (2006) Sutured
Heegaard diagrams for knots; Algebraic and Geometric Topology; Vol.
6; No. 2; 513-537; 10.2140/agt.2006.6.513
- Connes, Alain; Marcolli, Matilde; et al. (2006) KMS
states and complex multiplication; Selecta Mathematica - New Series;
Vol. 11; No. 3-4; 325-347; 10.1007/s00029-005-0013-x
- Berkooz, Micha and Kapustin, Anton (2006) New IR
dualities in supersymmetric gauge theory in three dimensions;
Journal of High Energy Physics; Vol. 1999; No. 2; Art. No. 009; 10.1088/1126-6708/1999/02/009
- Kitaev, Alexei and Preskill, John (2006) Topological
Entanglement Entropy; Physical Review Letters; Vol. 96; No. 11; Art.
No. 110404; 10.1103/PhysRevLett.96.110404
- Dijkgraaf, Robbert; Gopakumar, Rajesh; et al. (2006) Baby
universes in string theory; Physical Review D; Vol. 73; No. 6; Art.
No. 066002; 10.1103/PhysRevD.73.066002
- Gukov, Sergei; Saraikin, Kirill; et al. (2006) Entropic
principle and asymptotic freedom; Physical Review D; Vol. 73; No. 6;
Art. No. 066010; 10.1103/PhysRevD.73.066010
- Gukov, Sergei; Saraikin, Kirill; et al. (2006) Stringy
wave function for an S^3 cosmology; Physical Review D; Vol. 73;
No. 6; Art. No. 066009; 10.1103/PhysRevD.73.066009
- Kempe, Julia; Kitaev, Alexei; et al. (2006) The
Complexity of the Local Hamiltonian Problem; SIAM Journal on
Computing; Vol. 35; No. 5; 1070-1097; 10.1137/S0097539704445226
- Aharonov, Dorit; Kitaev, Alexei; et al. (2006) Fault-Tolerant
Quantum Computation with Long-Range Correlated Noise; Physical
Review Letters; Vol. 96; No. 5; Art. No. 050504; 10.1103/PhysRevLett.96.050504
- Lieb, Elliott H.; Sigal, Israel M.; et al. (2006) Approximate
Neutrality of Large-Z Ions; ISBN 354022212X; The Stability of
Matter: From Atoms to Stars: Selecta of Elliott H. Lieb;
Springer-Verlag: Berlin/Heidelberg; 103-112; 10.1007/3-540-27056-6_9
- Bonderson, Parsa; Kitaev, Alexei; et al. (2006) Detecting
Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State;
Physical Review Letters; Vol. 96; No. 1; Art. No. 016803; 10.1103/PhysRevLett.96.016803
- Connes, Alain and Marcolli, Matilde (2006) A
walk in the noncommutative garden; 10.48550/arXiv.0601054
- Damanik, D. and Simon, B. (2006) Jost
functions and Jost solutions for Jacobi matrices, II. Decay and
analyticity; International Mathematics Research Notices; Vol. 2006;
Art. No. 19396; 10.1155/IMRN/2006/19396
- Simon, Barry (2006) Aizenman’s
Theorem for Orthogonal Polynomials on the Unit Circle; Constructive
Approximation; Vol. 23; No. 2; 229-240; 10.1007/s00365-005-0599-4
- Kitaev, Alexei (2006) Anyons in an
exactly solved model and beyond; Annals of Physics; Vol. 321; No. 1;
2-111; 10.1016/j.aop.2005.10.005
- Forrester, Peter J.; Nagao, Taro; et al. (2006) Correlation
functions for random involutions; International Mathematics Research
Notices; Vol. 2006; Art. No. 89796; 10.1155/IMRN/2006/89796
- Forrester, Peter J. and Rains, Eric M. (2006) Jacobians
and rank 1 perturbations relating to unitary Hessenberg matrices;
International Mathematics Research Notices; Vol. 2006; Art. No. 48306;
10.1155/IMRN/2006/48306
- Connes, Alain and Marcolli, Matilde (2006) Q-lattices:
Quantum statistical mechanics and Galois theory; Journal of Geometry
and Physics; Vol. 56; No. 1; 2-23; 10.1016/j.geomphys.2005.04.010
- Connes, Alain and Marcolli, Matilde (2006) Quantum
fields and motives; Journal of Geometry and Physics; Vol. 56; No. 1;
55-85; 10.1016/j.geomphys.2005.04.004
- Rains, Eric M. (2006) A
difference-integral representation of Koornwinder polynomials; ISBN
978-0-8218-3683-5; Jack, Hall-Littlewood and Macdonald Polynomials;
American Mathematical Society: Providence, RI; 319-333; 10.1090/conm/417/07929
- Rains, Eric M. (2006) BC_n-symmetric
abelian functions; Duke Mathematical Journal; Vol. 135; No. 1;
99-180; 10.48550/arXiv.0402113
- Ooguri, Hirosi (2006) Entropy
of Small Black Holes; Progress of Theoretical Physics Supplement;
No. 163; 355-357; 10.1143/PTPS.163.355
- Simon, Barry (2006) Fine
structure of the zeros of orthogonal polynomials, I. A tale of two
pictures; Electronic Transactions on Numerical Analysis; Vol. 25;
328-368
- Burns, David and Flach, Matthias (2006) On the
Equivariant Tamagawa Number Conjecture for Tate Motives, Part II;
Documenta Mathematica; Vol. Extra; 133-163
- Nebe, Gabriele; Rains, Eric M.; et al. (2006) Self-Dual
Codes and Invariant Theory; ISBN 978-3-540-30729-7; Self-Dual Codes
and Invariant Theory; Springer: Berlin; 10.1007/3-540-30731-1
- Dunfield, Nathan M.; Gukov, Sergei; et al. (2006) The
Superpolynomial for Knot Homologies; Experimental Mathematics; Vol.
15; No. 2; 129-159; 10.1080/10586458.2006.10128956
- Gukov, Sergei and Walcher, Johannes (2005) Matrix
Factorizations and Kauffman Homology; 10.48550/arXiv.0512298
- Freedman, Michael H.; Kitaev, Alexei; et al. (2005) Universal
manifold pairings and positivity; Geometry and Topology; Vol. 9;
No. 53; 2303-2317; 10.2140/gt.2005.9.2303
- Ooguri, Hirosi; Vafa, Cumrun; et al. (2005) Hartle-Hawking
Wave-Function for Flux Compactifications: the Entropic Principle;
Letters in Mathematical Physics; Vol. 74; No. 3; 311-342; 10.1007/s11005-005-0022-x
- Borodin, Alexei and Rains, Eric M. (2005) Eynard–Mehta
Theorem, Schur Process, and their Pfaffian Analogs; Journal of
Statistical Physics; Vol. 121; No. 3-4; 291-317; 10.1007/s10955-005-7583-z
- Aschbacher, Michael (2005) Highly
complex proofs and implications of such proofs; Philosophical
Transactions A: Mathematical, Physical and Engineering Sciences; Vol.
363; No. 1835; 2401-2406; 10.1098/rsta.2005.1655
- Gukov, Sergei; Schwarz, Albert; et al. (2005) Khovanov-Rozansky
Homology and Topological Strings; Letters in Mathematical Physics;
Vol. 74; No. 1; 53-74; 10.1007/s11005-005-0008-8
- Simon, Barry and Totik, Vilmos (2005) Limits
of zeros of orthogonal polynomials on the circle; Mathematische
Nachrichten; Vol. 278; No. 12-13; 1615-1620; 10.1002/mana.200410326
- Mantovan, Elena (2005) On
the cohomology of certain PEL-type Shimura varieties; Duke
Mathematical Journal; Vol. 129; No. 3; 573-610; 10.1215/S0012-7094-05-12935-0
- Simon, Barry (2005) Meromorphic
Szegő functions and asymptotic series for Verblunsky coefficients;
Acta Mathematica; Vol. 195; No. 2; 267-285; 10.1007/BF02588083
- Hjorth, Greg and Kechris, Alexander S. (2005) Rigidity
theorems for actions of product groups and countable Borel equivalence
relations; Memoirs of the American Mathematical Society; Vol. 177;
No. 833; 1-109
- Damanik, David; Killip, Rowan; et al. (2005) Schrödinger
Operators with Few Bound States; Communications in Mathematical
Physics; Vol. 258; No. 3; 741-750; 10.1007/s00220-005-1366-x
- Wilson, Rebecca M.; Jen, Wendy S.; et al. (2005) Enantioselective
Organocatalytic Intramolecular Diels−Alder Reactions. The Asymmetric
Synthesis of Solanapyrone D; Journal of the American Chemical
Society; Vol. 127; No. 33; 11616-11617; 10.1021/ja054008q
- Kapustin, Anton and Li, Yi (2005) Open-string
BRST cohomology for generalized complex branes; Advances in
Theoretical and Mathematical Physics; Vol. 9; No. 4; 559-574; 10.4310/ATMP.2005.v9.n4.a2
- Dijkgraaf, Robbert; Gukov, Sergei; et al. (2005) Topological
M-theory as Unification of Form Theories of Gravity; Advances in
Theoretical and Mathematical Physics; Vol. 9; No. 4; 603-665; 10.4310/ATMP.2005.v9.n4.a5
- Simon, Barry (2005) Sturm
Oscillation and Comparison Theorems; ISBN 3764370661;
Sturm-Liouville Theory; Birkhäuser-Verlag: Basel; 29-43; 10.1007/3-7643-7359-8_2
- Simon, Barry (2005) Fine
structure of the zeros of orthogonal polynomials, II. OPUC with
competing exponential decay; Journal of Approximation Theory; Vol.
135; No. 1; 125-139; 10.1016/j.jat.2005.04.003
- Simon, Barry (2005) On
a theorem of Kac and Gilbert; Journal of Functional Analysis; Vol.
223; No. 1; 109-115; 10.1016/j.jfa.2004.08.015
- Gukov, Sergei; Martinec, Emil; et al. (2005) Search
for a holographic dual to AdS_3 x S^3 x S^3 x S^1; Advances in
Theoretical and Mathematical Physics; Vol. 9; No. 3; 435-525; 10.4310/ATMP.2005.v9.n3.a3
- Aganagic, Mina; Ooguri, Hirosi; et al. (2005) Black
holes, q-deformed 2d Yang-Mills, and non-perturbative topological
strings; Nuclear Physics B; Vol. 715; No. 1-2; 304-348; 10.1016/j.nuclphysb.2005.02.035
- Simon, Barry and Zlatoš, Andrej (2005) Higher-order
Szegő theorems with two singular points; Journal of Approximation
Theory; Vol. 134; No. 1; 114-129; 10.1016/j.jat.2005.02.003
- Rains, Eric M. (2005) Recurrences
for elliptic hypergeometric integrals; 10.48550/arXiv.0504285
- Kapustin, Anton (2005) Chiral
de Rham complex and the half-twisted sigma-model; 10.48550/arXiv.0504074
- Gukov, Sergei (2005) Three-Dimensional
Quantum Gravity, Chern-Simons Theory, and the A-Polynomial;
Communications in Mathematical Physics; Vol. 255; No. 3; 577-627; 10.1007/s00220-005-1312-y
- Rains, Eric M. (2005) BC_n-symmetric
polynomials; Transformation Groups; Vol. 10; No. 1; 63-132; 10.1007/s00031-005-1003-y
- Cohen, Arjeh M.; Gijsbers, Dié A. H.; et al. (2005) A
Poset Connected to Artin Monoids of Simply Laced Type; 10.48550/arXiv.0502501
- Kapustin, Anton (2005) A-branes
and Noncommutative Geometry; 10.48550/arXiv.0502212
- Ooguri, Hirosi; Vafa, Cumrun; et al. (2005) Hartle-Hawking
Wave-Function for Flux Compactifications; 10.48550/arXiv.0502211v2
- Marcolli, Matilde and Mathai, Varghese (2005) Towards
the fractional quantum Hall effect: a noncommutative geometry
perspective; 10.48550/arXiv.0502356
- Tamuz, O.; Mazeh, T.; et al. (2005) Correcting
systematic effects in a large set of photometric light curves;
Monthly Notices of the Royal Astronomical Society; Vol. 356; No. 4;
1466-1470; 10.1111/j.1365-2966.2004.08585.x
- Kechris, A. S.; Pestov, V. G.; et al. (2005) Fraïssé
Limits, Ramsey Theory, and topological dynamics of automorphism
groups; Geometric and Functional Analysis; Vol. 15; No. 1; 106-189;
10.1007/s00039-005-0503-1
- Bravyi, Sergey and Kitaev, Alexei (2005) Universal
quantum computation with ideal Clifford gates and noisy ancillas;
Physical Review A; Vol. 71; No. Art no; 1-14; 10.1103/PhysRevA.71.022316
- Etingof, Pavel and Rains, Eric (2005) New
deformations of group algebras of Coxeter groups; International
Mathematics Research Notices; Vol. 2005; No. 10; 635-646; 10.1155/IMRN.2005.635
- Forrester, Peter J. and Rains, Eric M. (2005) Interpretations
of some parameter dependent generalizations of classical matrix
ensembles; Probability Theory and Related Fields; Vol. 131; No. 1;
1-61; 10.1007/s00440-004-0375-6
- Ramakrishnan, Dinakar and Rogawski, Jonathan (2005) Average
values of modular L-series via the relative trace formula; Pure and
Applied Mathematics Quarterly; Vol. 1; No. 4; 701-735; 10.48550/arXiv.0510113
- Lagarias, Jeffrey C. and Rains, Eric (2005) Dynamics
of a family of piecewise-linear area-preserving plane maps I. Rational
rotation numbers; Journal of Difference Equations and Applications;
Vol. 11; No. 12; 1089-1108; 10.1080/10236190500273069
- Lagarias, Jeffrey C. and Rains, Eric (2005) Dynamics
of a family of piecewise-linear area-preserving plane maps II. Invariant
circles; Journal of Difference Equations and Applications; Vol. 11;
No. 13; 1137-1163; 10.1080/10236190500273127
- Lagarias, Jeffrey C. and Rains, Eric (2005) Dynamics
of a family of piecewise-linear area-preserving plane maps III. Cantor
set spectra; Journal of Difference Equations and Applications; Vol.
11; No. 14; 1205-1224; 10.1080/10236190500273184
- Simon, Barry (2005) OPUC
on one foot; Bulletin of the American Mathematical Society; Vol. 42;
No. 4; 431-460; 10.1090/S0273-0979-05-01075-X
- Paranjape, Kapil and Ramakrishnan, Dinakar (2005) Quotients
of E^n by a_(n+1) and Calabi-Yau manifolds; ISBN 978-81-85931-57-9;
Algebra and Number Theory: Proceedings of the Silver Jubilee Conference
University of Hyderabad; Hindustan Book Agency: Gurgaon; 90-98; 10.1007/978-93-86279-23-1_6
- Forrester, Peter J. and Rains, Eric M. (2004) Correlations
for superpositions and decimations of Laguerre and Jacobi orthogonal
matrix ensembles with a parameter; Probability Theory and Related
Fields; Vol. 130; No. 4; 518-576; 10.1007/s00440-004-0374-7
- Kapustin, Anton and Rozansky, Lev (2004) On
the Relation Between Open and Closed Topological Strings;
Communications in Mathematical Physics; Vol. 252; No. 1-3; 393-414; 10.1007/s00220-004-1227-z
- Berkovits, Nathan; Ooguri, Hirosi; et al. (2004) On
the Worldsheet Derivation of Large N Dualities for the Superstring;
Communications in Mathematical Physics; Vol. 252; No. 1-3; 259-274; 10.1007/s00220-004-1181-9
- Ooguri, Hirosi; Strominger, Andrew; et al. (2004) Black
hole attractors and the topological string; Physical Review D; Vol.
70; No. 10; Art. No. 106007; 10.1103/PhysRevD.70.106007
- Connes, Alain and Marcolli, Matilde (2004) From
Physics to Number Theory via Noncommutative Geometry, Part II:
Renormalization, the Riemann-Hilbert correspondence, and motivic Galois
theory; 10.48550/arXiv.0411114
- Okuda, Takuya and Ooguri, Hirosi (2004) D-branes and
phases on string worldsheet; Nuclear Physics B; Vol. 699; No. 1-2;
135-150; 10.1016/j.nuclphysb.2004.08.036
- Jiang, Boju; Ni, Yi; et al. (2004) 3-manifolds
that admit knotted solenoids as attractors; Transactions of the
American Mathematical Society; Vol. 356; No. 11; 4371-4382; 10.48550/arXiv.0403427
- Kapustin, Anton (2004) A
remark on worldsheet fermions and double-scaled matrix models; 10.48550/arXiv.0410268
- Nebe, G.; Rains, E. M.; et al. (2004) Codes
and invariant theory; Mathematische Nachrichten; Vol. 274-275;
No. 1; 104-116; 10.1002/mana.200310204
- Nebe, Gabriele; Quebbemann, H.-G.; et al. (2004) Complete
weight enumerators of generalized doubly-even self-dual codes;
Finite Fields and Their Applications; Vol. 10; No. 4; 540-550; 10.1016/j.ffa.2003.12.001
- Nekrasov, Nikita; Ooguri, Hirosi; et al. (2004) S-duality
and topological strings; Journal of High Energy Physics; Vol. 2004;
No. 10; Art. No. 009; 10.1088/1126-6708/2004/10/009
- Marcolli, Matilde (2004) Lectures
on Arithmetic Noncommutative Geometry; 10.48550/arXiv.0409520
- Simon, Barry (2004) A
canonical factorization for meromorphic Herglotz functions on the unit
disk and sum rules for Jacobi matrices; Journal of Functional
Analysis; Vol. 214; No. 2; 396-409; 10.1016/j.jfa.2003.11.006
- Kapustin, Anton (2004) Gauge
theory, topological strings, and S-duality; Journal of High Energy
Physics; Vol. 2004; No. 9; Art. No.-034; 10.1088/1126-6708/2004/09/034
- Gesztesy, Fritz and Simon, Barry (2004) Connectedness
of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger
Operators; Journal of Statistical Physics; Vol. 116; No. 1-4;
361-365; 10.1023/B:JOSS.0000037217.89500.b3
- Aschbacher, Michael (2004) The
Status of the Classification of the Finite Simple Groups; Notices of
the American Mathematical Society; Vol. 51; No. 7; 736-740
- Consani, Caterina and Marcolli, Matilde (2004) Archimedean
cohomology revisited; 10.48550/arXiv.0407480
- Hundertmark, Dirk and Simon, Barry (2004) A
diamagnetic inequality for semigroup differences; Journal für die
reine und angewandte Mathematik (Crelles Journal); Vol. 2004; No. 571;
107-130; 10.1515/crll.2004.036
- Kapustin, Anton and Li, Yi (2004) D-branes
in topological minimal models: the Landau-Ginzburg approach; Journal
of High Energy Physics; Vol. 2004; No. 7; Art. No.-045; 10.1088/1126-6708/2004/07/045
- Simon, Barry (2004) Orthogonal
polynomials on the unit circle: New results; International
Mathematics Research Notices; Vol. 2004; No. 53; 2837-2880; 10.1155/S1073792804141664
- Draper, Thomas G.; Kutin, Samuel A.; et al. (2004) A
logarithmic-depth quantum carry-lookahead adder; 10.48550/arXiv.0406142
- Kapustin, Anton (2004) Noncritical
superstrings in a Ramond-Ramond background; Journal of High Energy
Physics; Vol. 2004; No. 6; Art. No.-024; 10.1088/1126-6708/2004/06/024
- Gomis, Jaume and Kapustin, Anton (2004) Two-dimensional
unoriented strings and matrix models; Journal of High Energy
Physics; Vol. 2004; No. 6; Art. No.-002; 10.1088/1126-6708/2004/06/002
- Kitaev, Alexei; Mayers, Dominic; et al. (2004) Superselection
rules and quantum protocols; Physical Review A; Vol. 69; No. 5;
Art2. No. 052326; 10.1103/PhysRevA.69.052326
- Kapustin, Anton and Murugan, Arvind (2004) Fatgraph
expansion for noncritical superstrings; 10.48550/arXiv.0404238
- Dijkgraaf, Robbert; Grisaru, Marc T.; et al. (2004) Planar
gravitational corrections for supersymmetric gauge theories; Journal
of High Energy Physics; Vol. 2004; No. 4; Art. No.-028; 10.1088/1126-6708/2004/04/028
- Gukov, Sergei; Kachru, Shamit; et al. (2004) Heterotic
moduli stabilization with fractional Chern-Simons invariants;
Physical Review D; Vol. 69; No. 8; Art. No. 086008; 10.1103/PhysRevD.69.086008
- Connes, Alain and Marcolli, Matilde (2004) From
Physics to Number Theory via Noncommutative Geometry. Part I: Quantum
Statistical Mechanics of Q-lattices; 10.48550/arXiv.0404128
- Gukov, Sergei; Martinec, Emil; et al. (2004) An
Index for 2D field theories with large N=4 superconformal symmetry;
10.48550/arXiv.0404023
- Kapustin, Anton (2004) Topological
strings on noncommutative manifolds; International Journal of
Geometric Methods in Modern Physics; Vol. 1; No. 2; 49-81; 10.1142/S0219887804000034
- Gukov, Sergei; Martinec, Emil; et al. (2004) Chern-Simons
Gauge Theory and the AdS_3/CFT_2 Correspondence; 10.48550/arXiv.0403225
- Gukov, Sergei; Takayanagi, Tadashi; et al. (2004) Flux
backgrounds in 2D string theory; Journal of High Energy Physics;
Vol. 2004; No. 3; Art. No. 017; 10.1088/1126-6708/2004/03/017
- Acharya, Bobby S. and Gukov, Sergei (2004) M
theory and singularities of exceptional holonomy manifolds; Physics
Reports; Vol. 392; No. 3; 121-189; 10.1016/j.physrep.2003.10.017
- Gukov, Sergei and Vafa, Cumrun (2004) Rational
Conformal Field Theories and Complex Multiplication; Communications
in Mathematical Physics; Vol. 246; No. 1; 181-210; 10.1007/s00220-003-1032-0
- Ramakrishnan, Dinakar and Wang, Song (2004) A
Cuspidality Criterion for the Functorial Product on GL(2) × GL(3) with a
Cohomological Application; International Mathematics Research
Notices; Vol. 2004; No. 27; 1355-1394; 10.1155/S1073792804132856
- Kapustin, Anton and Orlov, Dmitri (2004) Lectures
on mirror symmetry, derived categories, and D-branes; Russian
Mathematical Surveys; Vol. 59; No. 5; 907-940; 10.1070/RM2004v059n05ABEH000772
- Damanik, David; Killip, Rowan; et al. (2004) Necessary
and Sufficient Conditions in the Spectral Theory of Jacobi Matrices and
Schrödinger Operators; International Mathematics Research Notices;
Vol. 2004; No. 22; 1087-1097; 10.1155/S1073792804132790
- Mantovan, Elena (2004) On
certain unitary group Shimura varieties. Variétés de Shimura, espaces de
Rapoport-Zink et correspondances de Langlands locales; Astérisque;
Vol. 291; 201-331
- Connes, Alain and Marcolli, Matilde (2004) Renormalization
and motivic galois theory; International Mathematics Research
Notices; Vol. 76; 4073-4091; 10.1155/S1073792804143122
- Kempe, Julia; Kitaev, Alexei; et al. (2004) The
Complexity of the Local Hamiltonian Problem; ISBN 978-3-540-24058-7;
FSTTCS 2004: Foundations of Software Technology and Theoretical Computer
Science; Springer: Berlin; 372-383; 10.1007/978-3-540-30538-5_31
- Damanik, David; Hundertmark, Dirk; et al. (2003) Bound
states and the Szegő condition for Jacobi matrices and Schrödinger
operators; Journal of Functional Analysis; Vol. 205; No. 2; 357-379;
10.1016/S0022-1236(03)00070-3
- Marcolli, Matilde (2003) Modular
curves, C^* algebras, and chaotic cosmology; 10.48550/arXiv.0312035
- Kapustin, Anton and Li, Yi (2003) D-branes in
Landau-Ginzburg models and algebraic geometry; Journal of High
Energy Physics; Vol. 2003; No. 12; Art. No. 005; 10.1088/1126-6708/2003/12/005
- Kapustin, Anton and Li, Yi (2003) Stability
Conditions For Topological D-branes: A Worldsheet Approach; 10.48550/arXiv.0311101
- Simon, Barry and Zlatoš, Andrej (2003) Sum
Rules and the Szegő Condition for Orthogonal Polynomials on the Real
Line; Communications in Mathematical Physics; Vol. 242; No. 3;
393-423; 10.1007/s00220-003-0906-5
- Consani, Caterina and Marcolli, Matilde (2003) Non-commutative
geometry, dynamics, and infinity-adic Arakelov geometry; 10.48550/arXiv.0205306
- Cohen, Arjeh M.; Gijsbers, Dié A. H.; et al. (2003) BMW
algebras of simply laced type; 10.48550/arXiv.0310011
- Kapustin, Anton and Orlov, Dmitri (2003) Remarks
on A-branes, mirror symmetry, and the Fukaya category; Journal of
Geometry and Physics; Vol. 48; No. 1; 84-99; 10.1016/S0393-0440(03)00026-3
- Dijkgraaf, Robbert; Gukov, Sergei; et al. (2003) Perturbative
analysis of gauged matrix models; Physical Review D; Vol. 68; No. 4;
Art. No. 045007; 10.1103/PhysRevD.68.045007
- Kaminsky, Kirk; Okawa, Yuji; et al. (2003) Quantum
aspects of the Seiberg–Witten map in noncommutative Chern–Simons
theory; Nuclear Physics B; Vol. 663; No. 1-2; 33-59; 10.1016/S0550-3213(03)00383-3
- Quebbemann, H.-G. and Rains, E. M. (2003) On
the involutions fixing the class of a lattice; Journal of Number
Theory; Vol. 101; No. 1; 185-194; 10.1016/S0022-314X(03)00022-2
- Killip, Rowan and Simon, Barry (2003) Sum rules for
Jacobi matrices and their applications to spectral theory; Annals of
Mathematics; Vol. 158; No. 1; 253-321
- Kapustin, Anton and Li, Yi (2003) Topological
Correlators in Landau-Ginzburg Models with Boundaries; Advances in
Theoretical and Mathematical Physics; Vol. 7; No. 4; 727-749; 10.4310/ATMP.2003.v7.n4.a5
- Damanik, D.; Hundertmark, D.; et al. (2003) Variational
Estimates for Discrete Schrödinger Operators with Potentials of
Indefinite Sign; Communications in Mathematical Physics; Vol. 238;
No. 3; 545-562; 10.1007/s00220-003-0868-7
- Kraus, Per; Ooguri, Hirosi; et al. (2003) Inside the
horizon with AdS/CFT; Physical Review D; Vol. 67; No. 12; Art.
No. 124022; 10.1103/PhysRevD.67.124022
- Vidal, G.; Latorre, J. I.; et al. (2003) Entanglement
in Quantum Critical Phenomena; Physical Review Letters; Vol. 90;
No. 22; Art. No. 227902; 10.1103/PhysRevLett.90.227902
- Ooguri, Hirosi and Vafa, Cumrun (2003) Gravity
Induced C-Deformation; Advances in Theoretical and Mathematical
Physics; Vol. 7; No. 3; 407-419; 10.48550/arXiv.0303063
- Rains, Eric M. (2003) New
asymptotic bounds for self-dual codes and lattices; IEEE
Transactions on Information Theory; Vol. 49; No. 5; 1261-1274; 10.1109/TIT.2003.810623
- Applegate, David; Rains, E. M.; et al. (2003) On
asymmetric coverings and covering numbers; Journal of Combinatorial
Designs; Vol. 11; No. 3; 218-228; 10.1002/jcd.10022
- Rains, Eric M. (2003) Images
of eigenvalue distributions under power maps; Probability Theory and
Related Fields; Vol. 125; No. 4; 522-538; 10.1007/s00440-002-0250-2
- Cherkis, Sergey A. and Kapustin, Anton (2003) Periodic
Monopoles With Singularities And N = 2 Super-QCD; Communications in
Mathematical Physics; Vol. 234; No. 1; 1-35; 10.1007/s00220-002-0786-0
- Gukov, Sergei; Sparks, James; et al. (2003) Conifold
transitions and five-brane condensation in M-theory on Spin(7)
manifolds; Classical and Quantum Gravity; Vol. 20; No. 4; 665-705;
10.1088/0264-9381/20/4/306
- Kiselev, Alexander; Last, Yoram; et al. (2003) Stability
of singular spectral types under decaying perturbations; Journal of
Functional Analysis; Vol. 198; No. 1; 1-27; 10.1016/S0022-1236(02)00053-8
- Marcolli, Matilde (2003) Limiting
modular symbols and the Lyapunov spectrum; Journal of Number Theory;
Vol. 98; No. 2; 348-376; 10.1016/S0022-314X(02)00044-6
- Ooguri, Hirosi and Vafa, Cumrun (2003) The
C-deformation of gluino and non-planar diagrams; Advances in
Theoretical and Mathematical Physics; Vol. 7; No. 1; 53-85; 10.48550/arXiv.0302109
- Kapustin, Anton and Orlov, Dmitri (2003) Vertex
Algebras, Mirror Symmetry, and D-Branes: The Case of Complex Tori;
Communications in Mathematical Physics; Vol. 233; No. 1; 79-136; 10.1007/s00220-002-0755-7
- Kechris, Alexander S. (2003) Actions
of Polish Groups and Classification Problems; ISBN 9780521648615;
Analysis and Logic; Cambridge University Press: Cambridge; 115-187
- Kitaev, A. Yu. (2003) Fault-tolerant
quantum computation by anyons; Annals of Physics; Vol. 303; No. 1;
2-30; 10.1016/S0003-4916(02)00018-0
- Ramakrishnan, Dinakar and Wang, Song (2003) On
the Exceptional Zeros of Rankin–Selberg L-Functions; Compositio
Mathematica; Vol. 135; No. 2; 211-244; 10.1023/A:1021761421232
- Gao, Su and Kechris, Alexander S. (2003) On
the classification of Polish metric spaces up to isometry; Memoirs
of the American Mathematical Society; Vol. 161; No. 766; 1-78
- Aschbacher, Michael (2003) A 2-local
characterization of M(12); Illinois Journal of Mathematics; Vol. 47;
No. 1-2; 31-47
- Henson, C. Ward; Iovino, José; et al. (2003) Actions
of Countable Groups; ISBN 9780521648615; Analysis and Logic;
Cambridge University Press: Cambridge; 126-130; 10.1017/CBO9781107360006.020
- Henson, C. Ward; Iovino, José; et al. (2003) Actions
of Locally Compact Groups; ISBN 9780521648615; Analysis and Logic;
Cambridge University Press: Cambridge; 131-132; 10.1017/CBO9781107360006.021
- Henson, C. Ward; Iovino, José; et al. (2003) Actions
of Polish Groups; ISBN 9780521648615; Analysis and Logic; Cambridge
University Press: Cambridge; 123-125; 10.1017/CBO9781107360006.019
- Henson, C. Ward; Iovino, José; et al. (2003) Actions
of the Infinite Symmetric Group; ISBN 9780521648615; Analysis and
Logic; Cambridge University Press: Cambridge; 133-136; 10.1017/CBO9781107360006.022
- Henson, C. Ward; Iovino, José; et al. (2003) Alternative
Formulations of the Theory; ISBN 9780521648615; Analysis and Logic;
Cambridge University Press: Cambridge; 72-74; 10.1017/CBO9781107360006.013
- Henson, C. Ward; Iovino, José; et al. (2003) Analysis
and Logic; ISBN 9781107360006; 10.1017/CBO9781107360006
- Henson, C. Ward; Iovino, José; et al. (2003) Asymptotic
structure; ISBN 9780521648615; Analysis and Logic; Cambridge
University Press: Cambridge; 233-243; 10.1017/CBO9781107360006.036
- Henson, C. Ward; Iovino, José; et al. (2003) Background
material: The 60’s and 70’s; ISBN 9780521648615; Analysis and Logic;
Cambridge University Press: Cambridge; 194-207; 10.1017/CBO9781107360006.032
- Henson, C. Ward; Iovino, José; et al. (2003) Basic
Model Theory I; ISBN 9780521648615; Analysis and Logic; Cambridge
University Press: Cambridge; 31-33; 10.1017/CBO9781107360006.008
- Henson, C. Ward; Iovino, José; et al. (2003) Basic
Model Theory II; ISBN 9780521648615; Analysis and Logic; Cambridge
University Press: Cambridge; 43-54; 10.1017/CBO9781107360006.011
- Henson, C. Ward; Iovino, José; et al. (2003) Concluding
remarks; ISBN 9780521648615; Analysis and Logic; Cambridge
University Press: Cambridge; 254-256; 10.1017/CBO9781107360006.039
- Henson, C. Ward; Iovino, José; et al. (2003) Distortion;
ISBN 9780521648615; Analysis and Logic; Cambridge University Press:
Cambridge; 223-232; 10.1017/CBO9781107360006.035
- Gukov, Sergei; Yau, Shing-Tung; et al. (2003) Duality
and Fibrations on G_2 Manifolds; Turkish Journal of Mathematics;
Vol. 27; No. 1; 61-97; 10.48550/arXiv.0203217v1
- Henson, C. Ward; Iovino, José; et al. (2003) Gowers’
dichotomy: A block Ramsey Theorem; ISBN 9781107360006; Analysis and
Logic; Cambridge University Press: Cambridge; 217-222; 10.1017/cbo9781107360006.034
- Henson, C. Ward; Iovino, José; et al. (2003) Homogeneous
Structures; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 75-78; 10.1017/cbo9781107360006.014
- Henson, C. Ward; Iovino, José; et al. (2003) Introduction;
ISBN 9781107360006; Analysis and Logic; Cambridge University Press:
Cambridge; xi-xiv; 10.1017/cbo9781107360006.002
- Henson, C. Ward; Iovino, José; et al. (2003) Introduction;
ISBN 9781107360006; Analysis and Logic; Cambridge University Press:
Cambridge; 117-119; 10.1017/cbo9781107360006.017
- Henson, C. Ward; Iovino, José; et al. (2003) Introduction;
ISBN 9781107360006; Analysis and Logic; Cambridge University Press:
Cambridge; 3-9; 10.1017/cbo9781107360006.003
- Henson, C. Ward; Iovino, José; et al. (2003) Introduction;
ISBN 9781107360006; Analysis and Logic; Cambridge University Press:
Cambridge; 191-193; 10.1017/cbo9781107360006.031
- Henson, C. Ward; Iovino, José; et al. (2003) Isomorphic
Ultrapowers; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 55-71; 10.1017/cbo9781107360006.012
- Henson, C. Ward; Iovino, José; et al. (2003) More
Model Theory; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 79-95; 10.1017/cbo9781107360006.015
- Henson, C. Ward; Iovino, José; et al. (2003) Normed
Space Structures; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 10-12; 10.1017/cbo9781107360006.004
- Lagarias, Jeffrey C. and Rains, Eric (2003) On
a two-variable zeta function for number fields; Annales de
l’Institut Fourier; Vol. 53; No. 1; 1-68
- Henson, C. Ward; Iovino, José; et al. (2003) Ordinal
Indices; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 244-251; 10.1017/cbo9781107360006.037
- Henson, C. Ward; Iovino, José; et al. (2003) Positive
Bounded Formulas; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 21-30; 10.1017/cbo9781107360006.007
- Henson, C. Ward; Iovino, José; et al. (2003) Signatures;
ISBN 9781107360006; Analysis and Logic; Cambridge University Press:
Cambridge; 13-16; 10.1017/cbo9781107360006.005
- Henson, C. Ward; Iovino, José; et al. (2003) The
General Glimm-Effros Dichotomy; ISBN 9780521648615; Analysis and
Logic; Cambridge University Press: Cambridge; 120-122; 10.1017/CBO9781107360006.018
- Simon, Barry (2003) The
Golinskii-Ibragimov Method and a Theorem of Damanik and Killip;
International Mathematics Research Notices; Vol. 2003; No. 36;
1973-1986; 10.1155/S107379280313084X
- Henson, C. Ward; Iovino, José; et al. (2003) The
homogeneous Banach space problem; ISBN 9781107360006; Analysis and
Logic; Cambridge University Press: Cambridge; 252-253; 10.1017/cbo9781107360006.038
- Henson, C. Ward; Iovino, José; et al. (2003) The
unconditional basic sequence problem and connections with
distortion; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 208-216; 10.1017/cbo9781107360006.033
- Henson, C. Ward; Iovino, José; et al. (2003) Turbulence
I: Overview; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 137-142; 10.1017/cbo9781107360006.023
- Henson, C. Ward; Iovino, José; et al. (2003) Turbulence
II: Basic Facts; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 143-145; 10.1017/cbo9781107360006.024
- Henson, C. Ward; Iovino, José; et al. (2003) Turbulence
III: Induced Actions; ISBN 9781107360006; Analysis and Logic;
Cambridge University Press: Cambridge; 146-149; 10.1017/cbo9781107360006.025
- Henson, C. Ward; Iovino, José; et al. (2003) Turbulence
IV: Some Examples; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 150-151; 10.1017/cbo9781107360006.026
- Henson, C. Ward; Iovino, José; et al. (2003) Turbulence
V: Calmness; ISBN 9781107360006; Analysis and Logic; Cambridge
University Press: Cambridge; 152-156; 10.1017/cbo9781107360006.027
- Henson, C. Ward; Iovino, José; et al. (2003) Turbulence
VI: The First Main Theorem; ISBN 9781107360006; Analysis and Logic;
Cambridge University Press: Cambridge; 157-162; 10.1017/cbo9781107360006.028
- Henson, C. Ward; Iovino, José; et al. (2003) Turbulence
VII: The Second Main Theorem; ISBN 9781107360006; Analysis and
Logic; Cambridge University Press: Cambridge; 163-183; 10.1017/cbo9781107360006.029
- Henson, C. Ward; Iovino, José; et al. (2003) Types;
ISBN 9781107360006; Analysis and Logic; Cambridge University Press:
Cambridge; 96-106; 10.1017/cbo9781107360006.016
- Henson, C. Ward; Iovino, José; et al. (2003) Ultrapowers
of Normed Space Structures; ISBN 9781107360006; Analysis and Logic;
Cambridge University Press: Cambridge; 17-20; 10.1017/cbo9781107360006.006
- Henson, C. Ward; Iovino, José; et al. (2003) Ultraproducts
of Normed Space Structures; ISBN 9781107360006; Analysis and Logic;
Cambridge University Press: Cambridge; 38-42; 10.1017/cbo9781107360006.010
- Kechris, A. S.; Pestov, V.; et al. (2003) Universal
minimal flows of automorphism groups; Bulletin Classe des Sciences
Mathématiques et Naturelles, Sciences mathématiques; Vol. 28;
93-106
- Hundertmark, Dirk and Simon, Barry (2002) An
optimal Lᵖ-bound on the Krein spectral shift function; Journal
d’Analyse Mathématique; Vol. 87; No. 1; 199-208; 10.1007/BF02868474
- Cohen, Arjeh M. and Wales, David B. (2002) Linearity
of artin groups of finite type; Israel Journal of Mathematics; Vol.
131; No. 1; 101-123; 10.1007/bf02785852
- Borokhov, Vadim; Kapustin, Anton; et al. (2002) Monopole
operators and mirror symmetry in three dimensions; Journal of High
Energy Physics; Vol. 2002; No. 12; Art. No. 044; 10.1088/1126-6708/2002/12/044
- Hori, Kentaro and Kapustin, Anton (2002) Worldsheet
descriptions of wrapped NS five-branes; Journal of High Energy
Physics; Vol. 2002; No. 11; Art. No. 038; 10.1088/1126-6708/2002/11/038
- Consani, Caterina and Marcolli, Matilde (2002) Spectral
triples in Arakelov geometry; Comptes Rendus Mathematique; Vol. 335;
No. 10; 779-784; 10.1016/S1631-073X(02)02569-4
- Marcolli, Matilde and Wang, Bai-Ling (2002) Variants
of equivariant Seiberg-Witten Floer homology; 10.48550/arXiv.0211238
- Borokhov, Vadim; Kapustin, Anton; et al. (2002) Topological
disorder operators in three-dimensional conformal field theory;
Journal of High Energy Physics; Vol. 2002; No. 11; Art. No. 049; 10.1088/1126-6708/2002/11/049
- Booss-Bavnbek, Bernhelm; Marcolli, Matilde; et al. (2002) Weak
UCP and Perturbed Monopole Equations; International Journal of
Mathematics; Vol. 13; No. 9; 987-1008; 10.1142/S0129167X02001551
- Consani, C. and Marcolli, M. (2002) Spectral
triples from Mumford curves; 10.48550/arXiv.0210435
- Consani, Caterina and Marcolli, Matilde (2002) New
perspectives in Arakelov geometry; 10.48550/arXiv.0210357
- Gukov, Sergei and Tong, David (2002) D-brane
probes of G_2 holonomy manifolds; Physical Review D; Vol. 66; No. 8;
Art. No. 087901; 10.1103/PhysRevD.66.087901
- Ooguri, Hirosi and Vafa, Cumrun (2002) Worldsheet
derivation of a large N duality; Nuclear Physics B; Vol. 641;
No. 1-2; 3-34; 10.1016/S0550-3213(02)00620-X
- Consani, Caterina and Marcolli, Matilde (2002) Triplets
spectraux en géométrie d’Arakelov; 10.48550/arXiv.0209182
- Gukov, Sergei and Haack, Michael (2002) IIA
string theory on Calabi-Yau fourfolds with background fluxes;
Nuclear Physics B; Vol. 639; No. 1-2; 95-128; 10.1016/S0550-3213(02)00442-X
- Dennis, Eric; Kitaev, Alexei; et al. (2002) Topological
quantum memory; Journal of Mathematical Physics; Vol. 43; No. 9;
4452-4505; 10.1063/1.1499754
- Acharya, Bobby S.; De La Ossa, Xenia; et al. (2002) G-flux,
supersymmetry and Spin(7) manifolds; Journal of High Energy Physics;
Vol. 2002; No. 9; Art. No. 047; 10.1088/1126-6708/2002/09/047
- Hundertmark, Dirk and Simon, Barry (2002) Lieb–Thirring
Inequalities for Jacobi Matrices; Journal of Approximation Theory;
Vol. 118; No. 1; 106-130; 10.1006/jath.2002.3704
- Rains, E. M. and Sloane, N. J. A. (2002) Self-Dual
Codes; 10.48550/arXiv.0208001
- Gomis, Jaume and Ooguri, Hirosi (2002) Penrose
Limit of N = 1 Gauge Theories; Nuclear Physics B; Vol. 635; No. 1-2;
106-125; 10.1016/S0550-3213(02)00396-6
- Lee, Peter; Ooguri, Hirosi; et al. (2002) Boundary
States for AdS₂ Branes in AdS₃; Nuclear Physics B; Vol. 632;
No. 1-3; 283-302; 10.1016/S0550-3213(02)00239-0
- Bachas, Constantin; de Boer, Jan; et al. (2002) Permeable
conformal walls and holography; Journal of High Energy Physics; Vol.
2002; No. 6; Art. no. 027; 10.1088/1126-6708/2002/06/027
- Freedman, Michael H.; Kitaev, Alexei; et al. (2002) Simulation
of Topological Field Theories by Quantum Computers; Communications
in Mathematical Physics; Vol. 227; No. 3; 587-603; 10.1007/s002200200635
- Bravyi, Sergey B. and Kitaev, Alexei Yu. (2002) Fermionic
Quantum Computation; Annals of Physics; Vol. 298; No. 1; 210-226; 10.1006/aphy.2002.6254
- Maldacena, Juan and Ooguri, Hirosi (2002) Strings in
AdS3 and the SL(2,R) WZW model. III. Correlation functions; Physical
Review D; Vol. 65; No. 10; Art. No. 106006; 10.1103/PhysRevD.65.106006
- Cherkis, Sergey A. and Kapustin, Anton (2002) Hyper-Kähler
metrics from periodic monopoles; Physical Review D; Vol. 65; No. 8;
Art. No. 084015; 10.1103/PhysRevD.65.084015
- Rains, E. M.; Sloane, N. J. A.; et al. (2002) The
lattice of N-run orthogonal arrays; Journal of Statistical Planning
and Inference; Vol. 102; No. 2; 477-500; 10.1016/S0378-3758(01)00119-7
- Gukov, Sergei and Tong, David (2002) D-Brane
probes of Special Holonomy Manifolds, and Dynamics of N=1
Three-Dimensional Gauge Theories; Journal of High Energy Physics;
Vol. 2002; No. 4; Art. No. 50; 10.1088/1126-6708/2002/04/050
- Marcolli, Matilde and Wang, Bai-Ling (2002) Seiberg–Witten
and Casson–Walker Invariants for Rational Homology 3-Spheres;
Geometriae Dedicata; Vol. 91; No. 1; 45-58; 10.1023/A:1016299716922
- Carey, A. L.; Marcolli, M.; et al. (2002) The
geometric triangle for 3-dimensional Seiberg-Witten monopoles; 10.48550/arXiv.9907065
- Gukov, Sergei and Sparks, James (2002) M-theory
on Spin(7) manifolds; Nuclear Physics B; Vol. 625; No. 1-2; 3-69; 10.1016/S0550-3213(02)00018-4
- Beckman, David; Gottesman, Daniel; et al. (2002) Measurability
of Wilson loop operators; Physical Review D; Vol. 65; No. 6; Art.
no. 065022; 10.1103/PhysRevD.65.065022
- Manin, Yuri I. and Marcolli, Matilde (2002) Holography
principle and arithmetic of algebraic curves; 10.48550/arXiv.0201036
- Jackson, S.; Kechris, A. S.; et al. (2002) Countable
Borel equivalence relations; Journal of Mathematical Logic; Vol. 2;
No. 1; 1-80
- Lagarias, J. C.; Rains, E. M.; et al. (2002) The
EKG Sequence; Experimental Mathematics; Vol. 11; No. 3; 437-446; 10.1080/10586458.2002.10504486
- Kirsch, Werner and Simon, Barry (2001) Approach
to equilibrium for a forced Burgers equation; Journal of Evolution
Equations; Vol. 1; No. 4; 411-419; 10.1007/PL00001380
- Hashimoto, Koji and Ooguri, Hirosi (2001) Seiberg-Witten
transforms of noncommutative solitons; Physical Review D; Vol. 64;
No. 10; Art. No. 106005; 10.1103/PhysRevD.64.106005
- Baik, Jinho; Deift, Percy; et al. (2001) A
Fredholm Determinant Identity and the Convergence of Moments for Random
Young Tableaux; Communications in Mathematical Physics; Vol. 223;
No. 3; 627-672; 10.1007/s002200100555
- Rains, Eric M. (2001) A
semidefinite program for distillable entanglement; IEEE Transactions
on Information Theory; Vol. 47; No. 7; 2921-2933; 10.1109/18.959270
- Berkovits, Nathan; Gukov, Sergei; et al. (2001) Superstrings
in 2D backgrounds with R–R flux and new extremal black holes;
Nuclear Physics B; Vol. 614; No. 1-2; 195-232; 10.1016/S0550-3213(01)00413-8
- Kechris, A. S. and Sofronidis, N. E. (2001) A
strong generic ergodicity property of unitary and self-adjoint
operators; Ergodic Theory and Dynamical Systems; Vol. 21; 1459-1479;
10.1017/S0143385701001705
- Brandhuber, Andreas; Gomis, Jaume; et al. (2001) Gauge
theory at large N and new G₂ holonomy metrics; Nuclear Physics B;
Vol. 611; No. 1-3; 179-204; 10.1016/S0550-3213(01)00340-6
- Lee, Peter; Ooguri, Hirosi; et al. (2001) Open
Strings on AdS₂ Branes; Nuclear Physics B; Vol. 610; No. 1-2; 3-48;
10.1016/S0550-3213(01)00333-9
- Clemens, John D.; Gao, Su; et al. (2001) Polish
Metric Spaces: Their Classification and Isometry Groups; Bulletin of
Symbolic Logic; Vol. 7; No. 3; 361-375; 10.2307/2687754
- Nebe, Gabriele; Rains, E. M.; et al. (2001) The
Invariants of the Clifford Groups; Designs, Codes and Cryptography;
Vol. 24; No. 1; 99-122; 10.1023/A:1011233615437
- Okawa, Yuji and Ooguri, Hirosi (2001) Exact
solution to the Seiberg-Witten equation of noncommutative gauge
theory; Physical Review D; Vol. 64; No. 4; Art. no. 046009; 10.1103/PhysRevD.64.046009
- Manin, Yuri I. and Marcolli, Matilde (2001) Continued
fractions, modular symbols, and non-commutative geometry; 10.48550/arXiv.0102006
- Hori, Kentaro and Kapustin, Anton (2001) Duality of
the fermionic 2d black hole and N = 2 Liouville theory as mirror
symmetry; Journal of High Energy Physics; Vol. 2001; No. 8; Art.
No. 045; 10.1088/1126-6708/2001/08/045
- DeWolfe, Oliver; Freedman, Daniel Z.; et al. (2001) Holography
and Defect Conformal Field Theories; Physical Review D; Vol. 66;
No. 2; Art. No. 025009; 10.48550/arXiv.0111135
- Gottesman, Daniel; Kitaev, Alexei; et al. (2001) Encoding a
qubit in an oscillator; Physical Review A; Vol. 64; No. 1; Art.
No. 012310; 10.1103/PhysRevA.64.012310
- Marcolli, Matilde and Wang, Bai-Ling (2001) Equivariant
Seiberg-Witten Floer homology; Communications in Analysis and
Geometry; Vol. 9; No. 3; 451-639; 10.4310/CAG.2001.v9.n3.a1
- Kapustin, Anton; Kuznetsov, Alexander; et al. (2001) Noncommutative
Instantons and Twistor Transform; Communications in Mathematical
Physics; Vol. 221; No. 2; 385-432; 10.1007/PL00005576
- Gomis, Jaume and Ooguri, Hirosi (2001) Nonrelativistic
closed string theory; Journal of Mathematical Physics; Vol. 42;
No. 7; 3127-3151; 10.1063/1.1372697
- Maldacena, Juan and Ooguri, Hirosi (2001) Strings in
AdS3 and the SL(2,R) WZW model. I: The spectrum; Journal of
Mathematical Physics; Vol. 42; No. 7; 2929-2960; 10.1063/1.1377273
- Maldacena, Juan; Ooguri, Hirosi; et al. (2001) Strings in
AdS3 and the SL(2,R) WZW model. II: Euclidean black hole; Journal of
Mathematical Physics; Vol. 42; No. 7; 2961-2977; 10.1063/1.1377039
- Gubser, S. S.; Gukov, S.; et al. (2001) The Hagedorn
transition in noncommutative open string theory; Journal of
Mathematical Physics; Vol. 42; No. 7; 2749-2764; 10.1063/1.1372176
- Rains, E. M. (2001) Class
Groups and Modular Lattices; Journal of Number Theory; Vol. 88;
No. 2; 211-224; 10.1006/jnth.2000.2633
- Buss, Samuel R.; Kechris, Alexander S.; et al. (2001) The
prospects for mathematical logic in the twenty-first century;
Bulletin of Symbolic Logic; Vol. 7; No. 2; 169-196; 10.2307/2687773
- Behrndt, Klaus; Gukov, Sergei; et al. (2001) Domain
walls, black holes, and supersymmetric quantum mechanics; Nuclear
Physics B; Vol. 601; No. 1-2; 49-76; 10.1016/S0550-3213(01)00052-9
- Kapustin, Anton (2001) Universality
class of little string theories; Physical Review D; Vol. 63; No. 8;
Art. No. 086005; 10.1103/PhysRevD.63.086005
- Cherkis, Sergey and Kapustin, Anton (2001) Nahm
Transform for Periodic Monopoles and N=2 Super Yang-Mills Theory;
Communications in Mathematical Physics; Vol. 218; No. 2; 333-371; 10.1007/PL00005558
- Marcolli, Matilde and Mathai, Varghese (2001) Twisted
Index Theory on Good Orbifolds, II: Fractional Quantum Numbers;
Communications in Mathematical Physics; Vol. 217; No. 1; 55-87; 10.1007/s002200000351
- Marcolli, Matilde and Wang, Bai-Ling (2001) Exact
triangles in monopole homology and the Casson-Walker invariant; 10.48550/arXiv.0101127
- Baik, Jinho and Rains, Eric M. (2001) Algebraic
aspects of increasing subsequences; Duke Mathematical Journal; Vol.
109; No. 1; 1-65; 10.1215/S0012-7094-01-10911-3
- Forrester, Peter J. and Rains, Eric M. (2001) Interrelationships
Between Orthogonal, Unitary and Symplectic Matrix Ensembles; ISBN
9780521802093; Random Matrix Models and Their Applications; Cambridge
University Press: Cambridge; 171-207; 10.48550/arXiv.9907008
- Hjorth, Greg and Kechris, Alexander S. (2001) Recent
developments in the theory of Borel reducibility; Fundamenta
Mathematicae; Vol. 170; No. 1-2; 21-52
- Baik, Jinho and Rains, Eric M. (2001) Symmetrized
Random Permutations; ISBN 9780521802093; Random Matrix Models and
Their Applications; Cambridge University Press: Cambridge; 1-19; 10.48550/arXiv.9910019
- Burns, D. and Flach, M. (2001) Tamagawa
Numbers for Motives with (Non-Commutative) Coefficients; Documenta
Mathematica; Vol. 6; 501-570
- Rains, Eric M. and Baik, Jinho (2001) The
asymptotics of monotone subsequences of involutions; Duke
Mathematical Journal; Vol. 109; No. 2; 205-281; 10.1215/S0012-7094-01-10921-6
- Simon, Barry (2000) Resonances
in One Dimension and Fredholm Determinants; Journal of Functional
Analysis; Vol. 178; No. 2; 396-420; 10.1006/jfan.2000.3669
- Aschbacher, Michael (2000) On
Primitive Linear Representations of Finite Groups; Journal of
Algebra; Vol. 234; No. 2; 627-640; 10.1006/jabr.2000.8532
- Ramm, Alexander and Simon, Barry (2000) A
new approach to inverse spectral theory, III. Short-range
potentials; Journal d’Analyse Mathématique; Vol. 80; No. 1; 319-334;
10.1007/BF02791540
- Camerlo, Riccardo and Kechris, Alexander S. (2000) Countable
structures with a fixed group of automorphisms; Israel Journal of
Mathematics; Vol. 117; No. 1; 105-124; 10.1007/BF02773566
- Kechris, Alexander S. (2000) On
the Classification Problem for Rank 2 Torsion-Free Abelian Groups;
Journal of the London Mathematical Society; Vol. 62; No. 2; 437-450; 10.1112/S0024610700001411
- Gates, S. James, Jr.; Gukov, Sergei; et al. (2000) Two
two-dimensional supergravity theories from Calabi–Yau four-folds;
Nuclear Physics B; Vol. 584; No. 1-2; 109-148; 10.1016/S0550-3213(00)00374-6
- Marcolli, Matilde and Wang, Bai-Ling (2000) Exact
triangles in Seiberg-Witten Floer theory. Part II: geometric limits of
flow lines; 10.48550/arXiv.9907080
- Marcolli, Matilde and Wang, Bai-Ling (2000) Exact
triangles in Seiberg-Witten Floer theory. Part III: proof of
exactness; 10.48550/arXiv.0009157v1
- Marcolli, Matilde and Wang, Bai-Ling (2000) Exact
triangles in Seiberg-Witten Floer theory. Part IV: Z-graded monopole
homology; 10.48550/arXiv.0009159
- Geszetsy, Fritz and Simon, Barry (2000) A
new approach to inverse spectral theory, II. General real potentials and
the connection to the spectral measure; Annals of Mathematics; Vol.
152; No. 2; 593-643; 10.2307/2661393
- Baik, Jinho and Rains, Eric M. (2000) Limiting
Distributions for a Polynuclear Growth Model with External Sources;
Journal of Statistical Physics; Vol. 100; No. 3-4; 523-541; 10.1023/A:1018615306992
- Behrndt, Klaus and Gukov, Sergei (2000) Domain
walls and superpotentials from M-theory on Calabi-Yau three-folds;
Nuclear Physics B; Vol. 580; No. 1-2; 225-242; 10.1016/S0550-3213(00)00149-8
- Ramakrishnan, Dinakar (2000) Modularity
of the Rankin-Selberg {L}-series, and multiplicity one for
{${\rm SL}(2)$}; Annals of
Mathematics; Vol. 152; No. 1; 45-111
- Gukov, Sergei and Periwal, Vipul (2000) Dbrane
phase transitions and monodromy in K-theory; Journal of Geometry and
Physics; Vol. 34; No. 3-4; 263-269; 10.1016/S0393-0440(99)00067-4
- Ooguri, Hirosi; Rahmfeld, Joachim; et al. (2000) Holography
in superspace; Journal of High Energy Physics; Vol. 2000; No. 7;
Art. no. 045; 10.1088/1126-6708/2000/07/045
- Ooguri, Hirosi and Vafa, Cumrun (2000) Knot
Invariants and Topological Strings; Nuclear Physics B; Vol. 577;
No. 3; 419-438; 10.1016/S0550-3213(00)00118-8
- Adams, Scot and Kechris, Alexander S. (2000) Linear
algebraic groups and countable Borel equivalence relations; Journal
of the American Mathematical Society; Vol. 13; No. 4; 909-943; 10.1090/S0894-0347-00-00341-6
- Kechris, Alexander S. (2000) Descriptive
Dynamics; ISBN 9780521786447; Descriptive set theory and dynamical
systems; Cambridge University Press: New York; 231-258
- Gesztesy, Fritz and Simon, Barry (2000) Inverse
spectral analysis with partial information on the potential, II. The
case of discrete spectrum; Transactions of the American Mathematical
Society; Vol. 352; No. 6; 2765-2787; 10.1090/S0002-9947-99-02544-1
- Simon, Barry (2000) Schrödinger
operators in the twentieth century; Journal of Mathematical Physics;
Vol. 41; No. 6; 3523-3555; 10.1063/1.533321
- Cordes, Heinz; Jensen, Arne; et al. (2000) Tosio
Kato (1917–1999); Notices of the American Mathematical Society; Vol.
47; No. 6; 650-657
- Gukov, Sergei (2000) Solitons,
superpotentials and calibrations; Nuclear Physics B; Vol. 574;
No. 1-2; 169-188; 10.1016/S0550-3213(00)00053-5
- Bonnecaze, A.; Rains, E.; et al. (2000) 3-Colored
5-Designs and Z_4-Codes; Journal of Statistical Planning and
Inference; Vol. 86; No. 2; 349-368; 10.1016/S0378-3758(99)00117-2
- Flach, M. (2000) Euler
characteristics in relative K-groups; Bulletin of the London
Mathematical Society; Vol. 32; No. 3; 272-284; 10.1112/S0024609300006950
- Wilson, Richard M. (2000) Existence
of Steiner systems that admit automorphisms with large cycles; ISBN
9783110198119; Codes and Designs: Proceedings of a conference honoring
Professor Dijen K. Ray-Chaudhuri on the occasion of his 65th birthday;
De Gruyter: Berlin; 305-312; 10.1515/9783110198119.305
- Rains, Eric (2000) Bounds
for Self-Dual Codes Over ℤ_4; Finite Fields and Their Applications;
Vol. 6; No. 2; 146-163; 10.1006/ffta.1999.0258
- Ooguri, Hirosi (2000) Gauge
Theory and String Theory; An Introduction to the AdS/CFT
Correspondence; Nuclear Physics B - Proceedings Supplements; Vol.
83-84; 77-81; 10.1016/S0920-5632(00)91597-4
- Gukov, Sergei (2000) K-Theory,
Reality, and Orientifolds; Communications in Mathematical Physics;
Vol. 210; No. 3; 621-639; 10.1007/s002200050793
- Gesztesy, Fritz and Simon, Barry (2000) On
Local Borg–Marchenko Uniqueness Results; Communications in
Mathematical Physics; Vol. 211; No. 2; 273-287; 10.1007/s002200050812
- Ooguri, Hirosi (2000) Wilson loops
in large-N theories; Classical and Quantum Gravity; Vol. 17; No. 5;
1225-1233; 10.1088/0264-9381/17/5/331
- Saxl, Jan; Wales, David B.; et al. (2000) Embeddings
of Sz(32) in E_8(5); Bulletin of the London Mathematical Society;
Vol. 32; 196-202; 10.1112/S0024609399006633
- Hjorth, G. and Kechris, A. S. (2000) The
complexity of the classification of Riemann surfaces and complex
manifolds; Illinois Journal of Mathematics; Vol. 44; No. 1;
104-137
- Aharony, Ofer; Gubser, Steven S.; et al. (2000) Large
N Field Theories, String Theory and Gravity; Physics Reports; Vol.
323; No. 3-4; 183-386; 10.1016/S0370-1573(99)00083-6
- Rains, Eric M. (2000) Polynomial
invariants of quantum codes; IEEE Transactions on Information
Theory; Vol. 46; No. 1; 54-59; 10.1109/18.817508
- Kapustin, Anton (2000) D-branes
in a topologically nontrivial B-field; Advances in Theoretical and
Mathematical Physics; Vol. 4; No. 1; 127-154; 10.4310/ATMP.2000.v4.n1.a3
- Dougherty, Randall and Kechris, Alexander S. (2000) How
Many Turing Degrees are There?; ISBN 9780821819227; Computability
theory and its applications: current trends and open problems; American
Mathematical Society: Providence, RI; 83-94; 10.1090/conm/257
- Odlyzko, A. M. and Rains, E. M. (2000) On
longest increasing subsequences in random permutations; ISBN
978-0-8218-1148-1; Analysis, Geometry, Number Theory: The Mathematics of
Leon Ehrenpreis; American Mathematical Society: Providence, RI; 439-451;
10.1090/conm/251/03886
- Drukker, Nadav; Gross, David J.; et al. (1999) Wilson
Loops and Minimal Surfaces; Physical Review D; Vol. 60; No. 12; Art.
No. 125006; 10.1103/PhysRevD.60.125006
- Conway, J. H.; Rains, E. M.; et al. (1999) On
the Existence of Similar Sublattices; Canadian Journal of
Mathematics; Vol. 51; No. 6; 1300-1306; 10.4153/CJM-1999-059-5
- Gremm, Martin and Kapustin, Anton (1999) Heterotic
little string theories and holography; Journal of High Energy
Physics; Vol. 1999; No. 11; Art. No. 018; 10.1088/1126-6708/1999/11/018
- Ooguri, Hirosi; Robins, Harlan; et al. (1999) Glueballs
and Their Kaluza-Klein Cousins; 10.48550/arXiv.9911027v1
- Simon, Barry (1999) A new
approach to inverse spectral theory, I. Fundamental formalism;
Annals of Mathematics; Vol. 150; No. 3; 1029-1057; 10.2307/121061
- Rains, Eric M. (1999) Monotonicity
of the quantum linear programming bound; IEEE Transactions on
Information Theory; Vol. 45; No. 7; 2489-2492; 10.1109/18.796387
- Rains, Eric M. (1999) Quantum
shadow enumerators; IEEE Transactions on Information Theory; Vol.
45; No. 7; 2361-2366; 10.1109/18.796376
- Marcolli, Matilde and Mathai, Varghese (1999) Twisted
index theory on good orbifolds, I: noncommutative Bloch theory;
Communications in Contemporary Mathematics; Vol. 1; No. 4; 553-587; 10.1142/S0219199799000213
- Gremm, Martin and Kapustin, Anton (1999) N = 1
theories, T-duality, and AdS/CFT correspondence; Journal of High
Energy Physics; Vol. 1999; No. 07; Art. No.005; 10.1088/1126-6708/1999/07/005
- Rains, Eric M. (1999) Nonbinary
quantum codes; IEEE Transactions on Information Theory; Vol. 45;
No. 6; 1827-1832; 10.1109/18.782103
- Brouwer, A. E.; Wilson, R. M.; et al. (1999) Cyclotomy
and Strongly Regular Graphs; Journal of Algebraic Combinatorics;
Vol. 10; No. 1; 25-28; 10.1023/a:1018620002339
- Kechris, Alexander S. (1999) New
Directions in Descriptive Set Theory; Bulletin of Symbolic Logic;
Vol. 5; No. 2; 161-174; 10.2307/421088
- Cherkis, Sergey A. and Kapustin, Anton (1999) Singular
Monopoles and Gravitational Instantons; Communications in
Mathematical Physics; Vol. 203; No. 3; 713-728; 10.1007/s002200050632
- Rains, Eric (1999) Optimal
self-dual codes over ℤ_4; Discrete Mathematics; Vol. 203; No. 1-3;
215-228; 10.1016/S0012-365X(98)00358-6
- Csáki, Csaba; Ooguri, Hirosi; et al. (1999) Glueball
mass spectrum from supergravity; Journal of High Energy Physics;
Vol. 1999; No. 1; Art. No. 017; 10.1088/1126-6708/1999/01/017
- Gukov, Sergei and Kapustin, Anton (1999) New
N = 2 superconformal field theories from M/F-theory orbifolds;
Nuclear Physics B; Vol. 545; No. 1-3; 283-308; 10.1016/S0550-3213(99)00008-5
- Kapustin, Anton and Strassler, Matthew J. (1999) On mirror
symmetry in three dimensional Abelian gauge theories; Journal of
High Energy Physics; Vol. 1999; No. 4; Art. No. 021; 10.1088/1126-6708/1999/04/021
- Cohen, Arjeh M.; Steinbach, Anja; et al. (1999) Lie
algebras generated by extremal elements; 10.48550/arXiv.9903077
- Calderbank, A. R.; Hardin, R. H.; et al. (1999) A
Group-Theoretic Framework for the Construction of Packings in
Grassmannian Spaces; Journal of Algebraic Combinatorics; Vol. 9;
No. 2; 129-140; 10.1023/A:1018673825179
- Bennett, Charles H.; DiVincenzo, David P.; et al. (1999) Quantum
nonlocality without entanglement; Physical Review A; Vol. 59; No. 2;
1070-1091; 10.1103/PhysRevA.59.1070
- Kiselev, Alexander; Remling, Christian; et al. (1999) Effective
Perturbation Methods for One-Dimensional Schrödinger Operators;
Journal of Differential Equations; Vol. 151; No. 2; 290-312; 10.1006/jdeq.1998.3514
- Kechris, A. S.; Solecki, S.; et al. (1999) Borel
Chromatic Numbers; Advances in Mathematics; Vol. 141; No. 1; 1-44;
10.1006/aima.1998.1771
- Rains, E. M. and Sloane, N. J. A. (1999) On
Cayley’s Enumeration of Alkanes (or 4-Valent Trees); Journal of
Integer Sequences; Vol. 2; Art. No. 99.1.1; 10.48550/arXiv.0207176
- Last, Yoram and Simon, Barry (1999) Eigenfunctions,
transfer matrices, and absolutely continuous spectrum of one-dimensional
Schrödinger operators; Inventiones Mathematicae; Vol. 135; No. 2;
329-367; 10.1007/s002220050288
- Rains, Eric M. (1999) Quantum
codes of minimum distance two; IEEE Transactions on Information
Theory; Vol. 45; No. 1; 266-271; 10.1109/18.746807
- Gesztesy, Fritz and Simon, Barry (1999) On
the determination of a potential from three spectra; ISBN
978-0-8218-1387-4; Differential Operators and Spectral Theory; American
Mathematical Society: Province; 85-92; 10.1090/trans2/189
- Diaconescu, Duiliu-Emanuel and Gukov, Sergei (1998) Three-dimensional
N = 2 gauge theories and degenerations of Calabi-Yau four-folds;
Nuclear Physics B; Vol. 535; No. 1-2; 171-196; 10.1016/S0550-3213(98)00597-5
- Kapustin, Anton (1998) D-n quivers
from branes; Journal of High Energy Physics; Vol. 1998; No. 12; Art.
No. 015; 10.1088/1126-6708/1998/12/015
- Gukov, Sergei; Rangamani, Mukund; et al. (1998) Dibaryons,
branes, and strings in AdS orbifold models; Journal of High Energy
Physics; Vol. 1998; No. 12; Art. No. 025; 10.1088/1126-6708/1998/12/025
- de Boer, Jan; Ooguri, Hirosi; et al. (1998) String
theory on AdS_3; Journal of High Energy Physics; Vol. 1998; No. 12;
Art. No. 026; 10.1088/1126-6708/1998/12/026
- Rains, E. M. and Sloane, N. J. A. (1998) The
Shadow Theory of Modular and Unimodular Lattices; Journal of Number
Theory; Vol. 73; No. 2; 359-389; 10.1006/jnth.1998.2306
- Kapustin, Anton (1998) Solution
of N = 2 gauge theories via compactification to three dimensions;
Nuclear Physics B; Vol. 534; No. 1-2; 531-545; 10.1016/S0550-3213(98)00520-3
- Gross, David J. and Ooguri, Hirosi (1998) Aspects
of large N gauge theory dynamics as seen by string theory; Physical
Review D; Vol. 58; No. 10; Art. No. 106002; 10.1103/PhysRevD.58.106002
- Ooguri, Hirosi (1998) M
theory fivebrane and SQCD; Nuclear Physics B - Proceedings
Supplements; Vol. 68; No. 1-3; 84-91; 10.1016/S0920-5632(98)00142-X
- Rains, Eric M. (1998) Normal
limit theorems for symmetric random matrices; Probability Theory and
Related Fields; Vol. 112; No. 3; 411-423; 10.1007/s004400050195
- Ooguri, Hirosi and Skenderis, Kostas (1998) On the
field theory limit of D-instantons; Journal of High Energy Physics;
Vol. 1998; No. 11; Art. no. 013; 10.1088/1126-6708/1998/11/013
- Gukov, Sergei (1998) Comments
on N = S AdS orbifolds; Physics Letters B; Vol. 439; No. 1-2; 23-28;
10.1016/S0370-2693(98)01005-3
- de Boer, Jan; Hori, Kentaro; et al. (1998) Membrane
scattering in curved space with M-momentum transfer; Nuclear Physics
B; Vol. 525; No. 1-2; 257-283; 10.1016/S0550-3213(98)00253-3
- Cherkis, Sergey A. and Kapustin, Anton (1998) Singular
monopoles and supersymmetric gauge theories in three dimensions;
Nuclear Physics B; Vol. 525; No. 1-2; 215-234; 10.1016/S0550-3213(98)00341-1
- Simon, Barry (1998) The
Classical Moment Problem as a Self-Adjoint Finite Difference
Operator; Advances in Mathematics; Vol. 137; No. 1; 82-203; 10.1006/aima.1998.1728
- Calderbank, A. Robert; Rains, Eric M.; et al. (1998) Quantum
error correction via codes over GF(4); IEEE Transactions on
Information Theory; Vol. 44; No. 4; 1369-1387; 10.1109/18.681315
- Rains, Eric M. (1998) Quantum
weight enumerators; IEEE Transactions on Information Theory; Vol.
44; No. 4; 1388-1394; 10.1109/18.681316
- de Boer, Jan; Hori, Kentaro; et al. (1998) Branes
and dynamical supersymmetry breaking; Nuclear Physics B; Vol. 522;
No. 1-2; 20-68; 10.1016/S0550-3213(98)00252-1
- Kechris, Alexander S. (1998) Rigidity
properties of Borel ideals on the integers; Topology and Its
Applications; Vol. 85; No. 1-3; 195-205; 10.1016/S0166-8641(97)00150-8
- Horowitz, Gary T. and Ooguri, Hirosi (1998) Spectrum
of Large N Gauge Theory from Supergravity; Physical Review Letters;
Vol. 80; No. 19; 4116-4118; 10.1103/PhysRevLett.80.4116
- de Boer, Jan; Hori, Kentaro; et al. (1998) Kähler
potential and higher derivative terms from M-theory fivebrane;
Nuclear Physics B; Vol. 518; No. 1-2; 173-211; 10.1016/S0550-3213(98)00152-7
- Kiselev, Alexander; Last, Yoram; et al. (1998) Modified
Prüfer and EFGP Transforms and the Spectral Analysis of One-Dimensional
Schrödinger Operators; Communications in Mathematical Physics; Vol.
194; No. 1; 1-45; 10.1007/s002200050346
- Simon, Barry (1998) Spectral
averaging and the Krein spectral shift; Proceedings of the American
Mathematical Society; Vol. 126; No. 5; 1409-1413; 10.1090/S0002-9939-98-04261-0
- Last, Yoram and Simon, Barry (1998) Modified
Prüfer and EFGP Transforms and Deterministic Models with Dense Point
Spectrum; Journal of Functional Analysis; Vol. 154; No. 2; 513-530;
10.1006/jfan.1997.3192
- Douglas, Michael R. and Ooguri, Hirosi (1998) Why
matrix theory is hard; Physics Letters B; Vol. 425; No. 1-2; 71-76;
10.1016/S0370-2693(98)00114-2
- Marcolli, Matilde and Mathai, Varghese (1998) Twisted
higher index theory on good orbifolds and fractional quantum
numbers; 10.48550/arXiv.9803051
- Hjorth, Greg; Kechris, Alexander S.; et al. (1998) Borel
equivalence relations induced by actions of the symmetric group;
Annals of Pure and Applied Logic; Vol. 92; No. 1; 63-112; 10.1016/S0168-0072(97)00049-3
- Lagarias, Jeffrey C. and Rains, Eric M. (1998) Rationals
to and Only to Rationals: 10555; American Mathematical Monthly; Vol.
105; No. 3; 277-278
- Rains, Eric M. (1998) Shadow
bounds for self-dual codes; IEEE Transactions on Information Theory;
Vol. 44; No. 1; 134-139; 10.1109/18.651000
- Mantovan, Elena (1998) Additive
extensions of a Barsotti-Tate group; Rendiconti del Seminario
Matematico della Università di Padova; Vol. 99; 161-185
- Cherkis, Sergey A. and Kapustin, Anton (1998) D_k
Gravitational Instantons and Nahm Equations; Advances in Theoretical
and Mathematical Physics; Vol. 2; No. 6; 1287-1306; 10.4310/ATMP.1998.v2.n6.a3
- Rains, E. M. (1998) Increasing
Subsequences and the Classical Groups; Electronic Journal of
Combinatorics; Vol. 5; Art. No. R12
- Gordon, Alexander Y. and Kechris, Alexander S. (1998) Measurable
enumeration of eigenelements; Applicable Analysis: An International
Journal; Vol. 71; No. 1-4; 41-61
- Edel, Yves; Rains, E. M.; et al. (1998) On
Kissing Numbers in Dimensions 32 to 128; Electronic Journal of
Combinatorics; Vol. 5; Art. No. R22
- Aschbacher, Michael (1998) Quasithin
Groups; ISBN 978-0-7923-5292-1; Algebraic Groups and their
Representations; Springer: Dordrecht; 321-340; 10.1007/978-94-011-5308-9_18
- Aschbacher, Michael G. and Smith, Stephen D. (1998) Quasithin
Groups; ISBN 978-3-0348-9785-3; Groups and Geometries; Springer:
Basel; 1-7; 10.1007/978-3-0348-8819-6_1
- Kapustin, Anton and Sethi, Savdeep (1998) The
Higgs Branch of Impurity Theories; Advances in Theoretical and
Mathematical Physics; Vol. 2; No. 3; 571-591; 10.4310/ATMP.1998.v2.n3.a6
- Kechris, Alexander S. (1998) The
descriptive classification of some classes of C∗-algebras; ISBN
9789810234324; Proceedings of the Sixth Asian Logic Conference; World
Scientific: River Edge, NJ; 121-149
- del Rio, Rafael and Simon, Barry (1997) Point
spectrum and mixed spectral types for rank one perturbations;
Proceedings of the American Mathematical Society; Vol. 125; No. 12;
3593-3599; 10.1090/S0002-9939-97-03997-X
- Gesztesy, Fritz and Simon, Barry (1997) m-Functions
and inverse spectral analysis for finite and semi-infinite Jacobi
matrices; Journal d’Analyse Mathématique; Vol. 73; No. 1; 267-297;
10.1007/BF02788147
- Hori, Kentaro; Ooguri, Hirosi; et al. (1997) Non-Abelian
conifold transitions and N = 4 dualities in three dimensions;
Nuclear Physics B; Vol. 504; No. 1-2; 147-174; 10.1016/S0550-3213(97)00529-4
- Ooguri, Hirosi and Vafa, Cumrun (1997) Geometry
of N = 1 dualities in four dimensions; Nuclear Physics B; Vol. 500;
No. 1-3; 62-74; 10.1016/S0550-3213(97)00304-0
- Hjorth, Greg and Kechris, Alexander S. (1997) New
Dichotomies for Borel Equivalence Relations; Bulletin of Symbolic
Logic; Vol. 3; No. 3; 329-346; 10.2307/421148
- Rains, E. M. (1997) Combinatorial
Properties of Brownian Motion on the Compact Classical Groups;
Journal of Theoretical Probability; Vol. 10; No. 3; 659-679; 10.1023/A:1022601711176
- Douglas, Michael R.; Ooguri, Hirosi; et al. (1997) Issues
in M(atrix) theory compactification; Physics Letters B; Vol. 402;
No. 1-2; 36-42; 10.1016/S0370-2693(97)00424-3
- Kechris, Alexander S. (1997) On
the concept of π^1_1-completeness; Proceedings of the American
Mathematical Society; Vol. 125; No. 6; 1811-1814; 10.1090/S0002-9939-97-03770-2
- de Boer, Jan; Hori, Kentaro; et al. (1997) Mirror
symmetry in three-dimensional gauge theories, SL(2,Z) and D-brane moduli
spaces; Nuclear Physics B; Vol. 493; No. 1-2; 148-176; 10.1016/S0550-3213(97)00115-6
- de Boer, Jan; Hori, Kentaro; et al. (1997) Mirror
symmetry in three-dimensional gauge theories, quivers and D-branes;
Nuclear Physics B; Vol. 493; No. 1-2; 101-147; 10.1016/S0550-3213(97)00125-9
- Kapustin, Anton (1997) The
Coulomb branch of N = 1 supersymmetric gauge theory with adjoint and
fundamental matter; Physics Letters B; Vol. 398; No. 1-2; 104-109;
10.1016/S0370-2693(97)00209-8
- Gukov, S. (1997) Supersymmetric
spin glass; Journal of Experimental and Theoretical Physics Letters;
Vol. 65; No. 8; 694-700; 10.1134/1.567408
- Rains, E. M. (1997) High
powers of random elements of compact Lie groups; Probability Theory
and Related Fields; Vol. 107; No. 2; 219-241; 10.1007/s004400050084
- Calderbank, A. R.; Rains, E. M.; et al. (1997) Quantum
Error Correction and Orthogonal Geometry; Physical Review Letters;
Vol. 78; No. 3; 405-408; 10.1103/PhysRevLett.78.405
- Gukov, Sergei and Polyubin, Igor (1997) Related
N = 2 SUSY Yang Mills Theories and Instanton Expansion; Physics
Letters B; Vol. 391; No. 1-2; 115-123; 10.1016/S0370-2693(96)01454-2
- Luo, Wenzhi and Ramakrishnan, Dinakar (1997) Determination
of modular elliptic curves by Heegner points; Pacific Journal of
Mathematics; Vol. 181; No. 3; 251-258
- Aschbacher, Michael (1997) Finite
groups acting on homology manifolds; Pacific Journal of Mathematics;
Vol. 181; No. 3; 3-36
- Cohen, Arjeh M. and Wales, David B. (1997) Finite
Subgroups of F_4(C) and E_6(C); Proceedings of the London
Mathematical Society; Vol. 74; No. 1; 105-150; 10.1112/S0024611597000051
- Kechris, Alexander S. and Louveau, Alain (1997) The
classification of hypersmooth Borel equivalence relations; Journal
of the American Mathematical Society; Vol. 10; No. 1; 215-242; 10.1090/S0894-0347-97-00221-X
- Douglas, Michael R.; Kato, Akishi; et al. (1997) D-brane
actions on Kähler manifolds; Advances in Theoretical and
Mathematical Physics; Vol. 1; No. 2; 237-258; 10.4310/ATMP.1997.v1.n2.a3
- del Rio, Rafael; Gesztesy, Fritz; et al. (1997) Inverse
spectral analysis with partial information on the potential. III.
Updating boundary conditions; International Mathematics Research
Notices; Vol. 1997; No. 15; 751-758; 10.1155/S1073792897000494
- Truhlar, Donald G. and Simon, Barry (1997) Multiparticle
Quantum Scattering With Applications to Nuclear, Atomic and Molecular
Physics; ISBN 978-1-4612-7318-9; Multiparticle Quantum Scattering
With Applications to Nuclear, Atomic and Molecular Physics; Springer:
New York, NY; 10.1007/978-1-4612-1870-8
- Hori, Kentaro; Ooguri, Hirosi; et al. (1997) Strong
coupling dynamics of four-dimensional N = 1 gauge theories from M-theory
fivebrane; Advances in Theoretical and Mathematical Physics; Vol. 1;
No. 1; 1-52; 10.4310/ATMP.1997.v1.n1.a1
- Ooguri, Hirosi and Yin, Zheng (1996) TASI
Lectures on Perturbative String Theories; 10.48550/arXiv.9612254
- Hjorth, Greg and Kechris, Alexander S. (1996) Borel
equivalence relations and classifications of countable models;
Annals of Pure and Applied Logic; Vol. 82; No. 3; 221-272; 10.1016/S0168-0072(96)00006-1
- Del Rio, R.; Jitomirskaya, S.; et al. (1996) Operators
with singular continuous spectrum, IV. Hausdorff dimensions, rank one
perturbations, and localization; Journal d’Analyse Mathématique;
Vol. 69; No. 1; 153-200; 10.1007/BF02787106
- Gesztesy, F.; Simon, B.; et al. (1996) Spectral
deformations of one-dimensional Schrödinger operators; Journal
d’Analyse Mathématique; Vol. 70; No. 1; 267-324; 10.1007/BF02820446
- Becker, Katrin; Becker, Melanie; et al. (1996) Supersymmetric
cycles in exceptional holonomy manifolds and Calabi-Yau four-folds;
Nuclear Physics B; Vol. 480; No. 1-2; 225-238; 10.1016/S0550-3213(96)00491-9
- Gesztesy, F.; Holden, H.; et al. (1996) A
Trace Formula for Multidimensional Schrödinger Operators; Journal of
Functional Analysis; Vol. 141; No. 2; 449-465; 10.1006/jfan.1996.0137
- Simon, Barry (1996) Bounded
eigenfunctions and absolutely continuous spectra for one-dimensional
Schrödinger operators; Proceedings of the American Mathematical
Society; Vol. 124; No. 11; 3361-3369; 10.1090/S0002-9939-96-03599-X
- Robinson, Raphael M.; Goffinet, Daniel; et al. (1996) Problems:
10550-10556; American Mathematical Monthly; Vol. 103; No. 9;
808-809; 10.2307/2974454
- Ooguri, Hirosi; Oz, Yaron; et al. (1996) D-branes
on Calabi-Yau spaces and their mirrors; Nuclear Physics B; Vol. 477;
No. 2; 407-430; 10.1016/0550-3213(96)00379-3
- Ooguri, Hirosi and Vafa, Cumrun (1996) Summing
up Dirichlet Instantons; Physical Review Letters; Vol. 77; No. 16;
3296-3298; 10.1103/PhysRevLett.77.3296
- Marcolli, Matilde (1996) Seiberg-Witten
Floer Homology and Heegaard Splittings; International Journal of
Mathematics; Vol. 7; No. 5; 671-696; 10.1142/S0129167X96000359
- Simon, Barry and Zhu, Yunfeng (1996) The
Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating
Potentials; Journal of Functional Analysis; Vol. 140; No. 2;
541-556; 10.1006/jfan.1996.0117
- Simon, B. and Stolz, G. (1996) Operators
with singular continuous spectrum, V. Sparse potentials; Proceedings
of the American Mathematical Society; Vol. 124; No. 7; 2073-2080; 10.1090/S0002-9939-96-03465-X
- Gesztesy, F.; Simon, B.; et al. (1996) Zeros
of the Wronskian and Renormalized Oscillation Theory; American
Journal of Mathematics; Vol. 118; No. 3; 571-594; 10.1353/ajm.1996.0024
- Kapustin, A. N. and Skorik, S. (1996) Surface
excitations and surface energy of the antiferromagnetic XXZ chain by the
Bethe ansatz approach; Journal of Physics A: Mathematical and
General; Vol. 29; No. 8; 1629-1638; 10.1088/0305-4470/29/8/011
- Simon, Barry (1996) [Operators with singular continuous
spectrum,
- Graph Laplacians and Laplace-Beltrami
operators](https://resolver.caltech.edu/CaltechAUTHORS:20180320-112111420);
Proceedings of the American Mathematical Society; Vol. 124; No. 4;
1177-1183; 10.1090/S0002-9939-96-03245-5
- Examples with Borderline Time
Decay](https://resolver.caltech.edu/CaltechAUTHORS:20180315-112637401);
Communications in Mathematical Physics; Vol. 176; No. 3; 713-722; 10.1007/BF02099257
- Gesztesy, F. and Simon, B. (1996) Uniqueness
theorems in inverse spectral theory for one-dimensional Schrödinger
operators; Transactions of the American Mathematical Society; Vol.
348; No. 1; 349-373; 10.1090/S0002-9947-96-01525-5
- Becker, Howard and Kechris, Alexander S. (1996) Actions
of Polish Groups; ISBN 9780521576055; The Descriptive Set Theory of
Polish Group Actions; Cambridge University Press: Cambridge; 13-32; 10.1017/CBO9780511735264.005
- Becker, Howard and Kechris, Alexander S. (1996) Actions
with Borel Orbit Equivalence Relations; ISBN 9780521576055; The
Descriptive Set Theory of Polish Group Actions; Cambridge University
Press: Cambridge; 98-115; 10.1017/CBO9780511735264.010
- Becker, Howard and Kechris, Alexander S. (1996) Better
topologies; ISBN 9780511735264; The Descriptive Set Theory of Polish
Group Actions; Cambridge University Press: Cambridge; 53-81; 10.1017/cbo9780511735264.008
- Becker, Howard and Kechris, Alexander
- Introduction;
ISBN 9780521576055; The Descriptive Set Theory of Polish Group Actions;
Cambridge University Press: Cambridge; viii-xii; 10.1017/CBO9780511735264.002
- Preface;
ISBN 9780521576055; The Descriptive Set Theory of Polish Group Actions;
Cambridge University Press: Cambridge; vii; 10.1017/CBO9780511735264.001
- Becker, Howard and Kechris, Alexander S. (1996) The
Descriptive Set Theory of Polish Group Actions; ISBN 9780521576055;
10.1017/CBO9780511735264
- Hjorth, Greg and Kechris, Alexander S. (1995) Analytic
Equivalence Relations and Ulm-Type Classifications; Journal of
Symbolic Logic; Vol. 60; No. 4; 1273-1300; 10.2307/2275888
- Simon, B. (1995) L^p
Norms of the Borel Transform and the Decomposition of Measures;
Proceedings of the American Mathematical Society; Vol. 123; No. 12;
3749-3755; 10.2307/2161903
- Hof, A.; Knill, O.; et al. (1995) Singular
Continuous Spectrum for Palindromic Schrödinger Operators;
Communications in Mathematical Physics; Vol. 174; No. 1; 149-159; 10.1007/BF02099468
- Kechris, A. S. and Solecki, S. (1995) Approximation
of analytic by Borel sets and definable countable chain conditions;
Israel Journal of Mathematics; Vol. 89; No. 1-3; 343-356; 10.1007/BF02808208
- Ooguri, Hirosi and Vafa, Cumrun (1995) All
loop N = 2 string amplitudes; Nuclear Physics B; Vol. 451; No. 1-2;
121-161; 10.1016/0550-3213(95)00365-Y
- Kapustin, Anton; Ligeti, Zoltan; et al. (1995) Leading
logarithms of the b quark mass in inclusive B → Xs γ decay; Physics
Letters B; Vol. 357; No. 4; 653-658; 10.1016/0370-2693(95)00962-K
- Del Rio, R.; Jitomirskaya, S.; et al. (1995) What
is Localization?; Physical Review Letters; Vol. 75; No. 1; 117-119;
10.1103/PhysRevLett.75.117
- Kiselev, A. and Simon, B. (1995) Rank
One Perturbations with Infinitesimal Coupling; Journal of Functional
Analysis; Vol. 130; No. 2; 345-356; 10.1006/jfan.1995.1074
- Gepner, Doron and Kapustin, Anton (1995) On
the classification of fusion rings; Physics Letters B; Vol. 349;
No. 1-2; 71-75; 10.1016/0370-2693(95)00172-H
- Gesztesy, F.; Holden, H.; et al. (1995) Absolute
Summability of the Trace Relation for Certain Schrödinger Operators;
Communications in Mathematical Physics; Vol. 168; No. 1; 137-161; 10.1007/BF02099586
- Gesztesy, F. and Simon, B. (1995) Rank
One Perturbations at Infinite Coupling; Journal of Functional
Analysis; Vol. 128; No. 1; 245-252; 10.1006/jfan.1995.1030
- Simon, Barry (1995) Operators
with Singular Continuous Spectrum: I. General Operators; Annals of
Mathematics; Vol. 141; No. 1; 131-145
- Gesztesy, F.; Holden, H.; et al. (1995) Higher
order trace relations for Schrödinger operators; Reviews in
Mathematical Physics; Vol. 7; No. 6; 893-922; 10.1142/S0129055X95000347
- Kapustin, A. N. and Skorik, S. (1994) On
the non-relativistic limit of the quantum sine-Gordon model with
integrable boundary condition; Physics Letters A; Vol. 196; No. 1-2;
47-51; 10.1016/0375-9601(94)91042-1
- Bershadsky, M.; Cecotti, S.; et al. (1994) Kodaira-Spencer
theory of gravity and exact results for quantum string amplitudes;
Communications in Mathematical Physics; Vol. 165; No. 2; 311-427; 10.1007/BF02099774
- Del Rio, R.; Makarov, N.; et al. (1994) Operators
with singular continuous spectrum: II. Rank one operators;
Communications in Mathematical Physics; Vol. 165; No. 1; 59-67; 10.1007/BF02099737
- Jitomirskaya, S. and Simon, B. (1994) Operators
with singular continuous spectrum: III. Almost periodic Schrödinger
operators; Communications in Mathematical Physics; Vol. 165; No. 1;
201-205; 10.1007/BF02099743
- Del Rio, R.; Jitomirskaya, S.; et al. (1994) Singular
continuous spectrum is generic; Bulletin of the American
Mathematical Society; Vol. 31; No. 2; 208-212; 10.1090/S0273-0979-1994-00518-X
- Kechris, Alexander S. (1994) Topology
and descriptive set theory; Topology and Its Applications; Vol. 58;
No. 3; 195-222; 10.1016/0166-8641(94)00146-4
- Kapustin, A. N. and Pronin, P. I. (1994) Non-Renormalization
Theorem for the Gauge Coupling in 2+1 Dimensions; Modern Physics
Letters A; Vol. 9; No. 21; 1925-1932; 10.1142/S0217732394001787
- Barthel, Laure and Ramakrishnan, Dinakar (1994) A
nonvanishing result for twists of L-functions of GL(n); Duke
Mathematical Journal; Vol. 74; No. 3; 681-700; 10.1215/S0012-7094-94-07425-5
- Avron, J.; Seiler, R.; et al. (1994) The
Index of a Pair of Projections; Journal of Functional Analysis; Vol.
120; No. 1; 220-237; 10.1006/jfan.1994.1031
- Avron, Joseph E.; Seiler, Ruedi; et al. (1994) Charge
deficiency, charge transport and comparison of dimensions;
Communications in Mathematical Physics; Vol. 159; No. 2; 399-422; 10.1007/BF02102644
- Kechris, Alexander S. (1994) Countable
Sections for Locally Compact Group Actions. II; Proceedings of the
American Mathematical Society; Vol. 120; No. 1; 241-247
- Dougherty, R.; Jackson, S.; et al. (1994) The
structure of hyperfinite Borel equivalence relations; Transactions
of the American Mathematical Society; Vol. 341; No. 1; 193-225; 10.2307/2154620
- Simon, Barry (1994) Cyclic
vectors in the Anderson model; Reviews in Mathematical Physics; Vol.
6; No. 5a; 1183-1185; 10.1142/S0129055X94000420
- del Rio, R.; Simon, B.; et al. (1994) Stability
of Spectral Types for Sturm-Liouville Operators; Mathematical
Research Letters; Vol. 1; No. 4; 437-450; 10.4310/MRL.1994.v1.n4.a4
- Gesztesy, F.; Holden, H.; et al. (1993) On
the Toda and Kac-van Moerbeke systems; Transactions of the American
Mathematical Society; Vol. 339; No. 2; 849-868; 10.1090/S0002-9947-1993-1153014-1
- Gordon, Y. A.; Jakšić, V.; et al. (1993) Spectral
Properties of Random Schrödinger Operators with Unbounded
Potentials; Communications in Mathematical Physics; Vol. 157; No. 1;
23-50; 10.1007/BF02098017
- Gesztesy, F.; Holden, H.; et al. (1993) Trace
formulae and inverse spectral theory for Schrödinger operators;
Bulletin of the American Mathematical Society; Vol. 29; No. 2; 250-256;
10.1090/S0273-0979-1993-00431-2
- Bershadsky, M.; Cecotti, S.; et al. (1993) Holomorphic
anomalies in topological field theories; Nuclear Physics B; Vol.
405; No. 2-3; 279-304; 10.1016/0550-3213(93)90548-4
- Kechris, Alexander S. (1993) Amenable
Versus Hyperfinite Borel Equivalence Relations; Journal of Symbolic
Logic; Vol. 58; No. 3; 894-907; 10.2307/2275102
- Simon, Barry (1993) Large
time behavior of the heat kernel: on a theorem of Chavel and Karp;
Proceedings of the American Mathematical Society; Vol. 118; No. 2;
513-514; 10.1090/S0002-9939-1993-1139473-4
- Aschbacher, Michael (1993) Simple
connectivity of p-group complexes; Israel Journal of Mathematics;
Vol. 82; No. 1-3; 1-43; 10.1007/bf02808107
- Becker, Howard and Kechris, Alexander S. (1993) Borel
actions of Polish groups; Bulletin of the American Mathematical
Society; Vol. 28; No. 2; 334-341; 10.1090/S0273-0979-1993-00383-5
- Graf, Gian Michele and Simon, B. (1993) Asymptotic
Series for the Ground State Energy of Schrödinger Operators; Journal
of Functional Analysis; Vol. 112; No. 2; 442-446; 10.1006/jfan.1993.1039
- Gesztesy, F. and Simon, B. (1993) A
Short Proof of Zheludev’s Theorem; Transactions of the American
Mathematical Society; Vol. 335; No. 1; 329-340
- Ooguri, Hirosi (1993) Schwinger-Dyson
Equation in Three-Dimensional Simplicial Quantum Gravity; Progress
of Theoretical Physics; Vol. 89; No. 1; 1-22; 10.1143/ptp/89.1.1
- Janwa, H. and Wilson, R. M. (1993) Hyperplane
sections of fermat varieties in P³ in char. 2 and some applications to
cyclic codes; ISBN 9783540566861; Applied Algebra, Algebraic
Algorithms and Error-Correcting Codes; Springer: Berlin, Heidelberg;
180-194; 10.1007/3-540-56686-4_43
- Ooguri, Hirosi (1993) Schwinger-Dyson
Equation in Three-Dimensional Simplicial Quantum Gravity; ISBN
978-1-4899-1614-3; Low-Dimensional Topology and Quantum Field Theory;
Springer: Boston, MA; 51-71; 10.1007/978-1-4899-1612-9_4
- Simon, Barry (1992) The
Weyl Transform and L^p Functions on Phase Space; Proceedings of the
American Mathematical Society; Vol. 116; No. 4; 1045-1047
- Aschbacher, M. and Segev, Y. (1992) Locally
connected simplicial maps; Israel Journal of Mathematics; Vol. 77;
No. 3; 285-303; 10.1007/bf02773693
- Ooguri, Hirosi (1992) Topological
Lattice Models in Four Dimensions; Modern Physics Letters A; Vol. 7;
No. 30; 2799-2810; 10.1142/S0217732392004171
- Ooguri, Hirosi (1992) Partition
functions and topology-changing amplitudes in the three-dimensional
lattice gravity of Ponzano and Regge; Nuclear Physics B; Vol. 382;
No. 2; 276-304; 10.1016/0550-3213(92)90188-H
- Simon, Barry (1992) Best
constants in some operator smoothness estimates; Journal of
Functional Analysis; Vol. 107; No. 1; 66-71; 10.1016/0022-1236(92)90100-W
- Kechris, Alexander S. (1992) Countable
sections for locally compact group actions; Ergodic Theory and
Dynamical Systems; Vol. 12; No. 2; 283-295; 10.1017/S0143385700006751
- Kechris, A. S. and Louveau, A. (1992) Descriptive
Set Theory and Harmonic Analysis; Journal of Symbolic Logic; Vol.
57; No. 2; 413-441; 10.2307/2275277
- Jakšić, V.; Molčanov, S.; et al. (1992) Eigenvalue
asymptotics of the Neumann Laplacian of regions and manifolds with
cusps; Journal of Functional Analysis; Vol. 106; No. 1; 59-79; 10.1016/0022-1236(92)90063-O
- Davies, E. B. and Simon, B. (1992) Spectral
properties of Neumann Laplacian of horns; Geometric and Functional
Analysis; Vol. 2; No. 1; 105-117; 10.1007/BF01895707
- Simon, Barry (1992) The
Neumann Laplacian of a jelly roll; Proceedings of the American
Mathematical Society; Vol. 114; No. 3; 783-785; 10.1090/S0002-9939-1992-1076578-X
- Gesztesy, F.; Graf, G. M.; et al. (1992) The
ground state energy of Schrödinger operators; Communications in
Mathematical Physics; Vol. 150; No. 2; 375-384
- Kechris, Alexander S. (1992) The
structure of Borel equivalence relations in Polish spaces; ISBN
978-1-4613-9756-4; Set theory of the continuum; Springer-Verlag: New
York; 89-102; 10.1007/978-1-4613-9754-0_7
- Ooguri, Hirosi and Sasakura, Naoki (1991) Discrete
and Continuum Approaches to Three-Dimensional Quantum Gravity;
Modern Physics Letters A; Vol. 6; No. 39; 3591-3600; 10.1142/S0217732391004140
- Aschbacher, Michael; Kleidman, Peter B.; et al. (1991) Exponents
of almost simple groups and an application to the restricted Burnside
problem; Mathematische Zeitschrift; Vol. 208; No. 1; 401-409; 10.1007/bf02571536
- Hempel, Rainer; Seco, Luis A.; et al. (1991) The
essential spectrum of Neumann Laplacians on some bounded singular
domains; Journal of Functional Analysis; Vol. 102; No. 2; 448-483;
10.1016/0022-1236(91)90130-W
- Aschbacher, Michael and Segev, Yoav (1991) The
uniqueness of groups of type J₄; Inventiones Mathematicae; Vol. 105;
No. 1; 589-607; 10.1007/bf01232280
- Davies, E. B. and Simon, B. (1991) L^p
norms of non-critical Schrödinger semigroups; Journal of Functional
Analysis; Vol. 102; No. 1; 95-115; 10.1016/0022-1236(91)90137-T
- Dougherty, Randall and Kechris, Alexander S. (1991) The
Complexity of Antidifferentiation; Advances in Mathematics; Vol. 88;
No. 2; 145-169; 10.1016/0001-8708(91)90006-S
- Brown, Robert W.; Rains, Eric M.; et al. (1991) Harmonic
analysis of the relativistic string in spinorial coordinates;
Classical and Quantum Gravity; Vol. 8; No. 7; 1245-1253; 10.1088/0264-9381/8/7/003
- Kechris, Alexander S. (1991) Hereditary
properties of the class of closed sets of uniqueness for trigonometric
series; Israel Journal of Mathematics; Vol. 73; No. 2; 189-198; 10.1007/BF02772948
- Gesztesy, F.; Holden, H.; et al. (1991) Explicit
construction of solutions of the modified Kadomtsev-Petviashvili
equation; Journal of Functional Analysis; Vol. 98; No. 1; 211-228;
10.1016/0022-1236(91)90096-N
- Kechris, A. S. and Woodin, W. H. (1991) A
strong boundedness theorem for dilators; Annals of Pure and Applied
Logic; Vol. 52; No. 1-2; 93-97; 10.1016/0168-0072(91)90041-J
- Kechris, Alexander S. (1991) Boundedness
theorems for dilators and ptykes; Annals of Pure and Applied Logic;
Vol. 52; No. 1-2; 79-92; 10.1016/0168-0072(91)90040-S
- Gesztesy, F.; Schweiger, W.; et al. (1991) Commutation
methods applied to the mKdV-equation; Transactions of the American
Mathematical Society; Vol. 324; No. 2; 465-525; 10.1090/S0002-9947-1991-1029000-7
- Kechris, Alexander S. (1991) Amenable
Equivalence Relations and Turing Degrees; Journal of Symbolic Logic;
Vol. 56; No. 1; 182-194; 10.2307/2274913
- Kechris, A. S.; Louveau, A.; et al. (1991) The
Class Of Synthesizable Pseudomeasures; Illinois Journal of
Mathematics; Vol. 35; No. 1; 107-146
- Aschbacher, Michael (1990) On
conjectures of Guralnick and Thompson; Journal of Algebra; Vol. 135;
No. 2; 277-343; 10.1016/0021-8693(90)90292-V
- Simon, Barry (1990) Absence
of Ballistic Motion; Communications in Mathematical Physics; Vol.
134; No. 1; 209-212; 10.1007/BF02102095
- Avron, Joseph E.; Seiler, Ruedi; et al. (1990) Quantum
Hall effect and the relative index for projections; Physical Review
Letters; Vol. 65; No. 17; 2185-2188; 10.1103/PhysRevLett.65.2185
- Harrington, L. A.; Kechris, A. S.; et al. (1990) A
Glimm-Effros dichotomy for Borel equivalence relations; Journal of
the American Mathematical Society; Vol. 3; No. 4; 903-928; 10.1090/S0894-0347-1990-1057041-5
- Aschbacher, Michael and Kleidman, Peter B. (1990) On
a conjecture of Quillen and a lemma of Robinson; Archiv der
Mathematik; Vol. 55; No. 3; 209-217; 10.1007/bf01191159
- Aschbacher, Michael (1990) The
existence of J₃ and its embeddings in E₆; Geometriae Dedicata; Vol.
35; No. 1-3; 143-154; 10.1007/bf00147344
- Avron, J.; v. Mouche, P. H. M.; et al. (1990) On
the measure of the spectrum for the almost Mathieu operator;
Communications in Mathematical Physics; Vol. 132; No. 1; 103-118; 10.1007/BF02278001
- Carmona, René; Masters, Wen Chen; et al. (1990) Relativistic
Schrödinger operators: Asymptotic behavior of the eigenfunctions;
Journal of Functional Analysis; Vol. 91; No. 1; 117-142; 10.1016/0022-1236(90)90049-Q
- Gesztesy, F. and Simon, Barry (1990) Constructing
solutions of the mKdV-equation; Journal of Functional Analysis; Vol.
89; No. 1; 53-60; 10.1016/0022-1236(90)90003-4
- Kechris, A. S. and Louveau, A. (1990) A
Classification of Baire Class 1 Functions; Transactions of the
American Mathematical Society; Vol. 318; No. 1; 209-236
- Kechris, Alexander S. and Louveau, Alain (1990) Covering
theorems for uniqueness and extended uniqueness sets; Colloquium
Mathematicum; Vol. 59; No. 1; 63-79
- Kechris, A. S. (1990) The
Classification of Hyperfinite Borel Equivalence Relations
- Kechris, Alexander S.; Marker, David; et al. (1989) Π^1_1
Borel Sets; Journal of Symbolic Logic; Vol. 54; No. 3; 915-920
- Dougherty, R. and Kechris, A. S. (1989) Hausdorff
Measures and Sets of Uniqueness for Trigonometric Series;
Proceedings of the American Mathematical Society; Vol. 105; No. 4;
894-897; 10.2307/2047049
- Lieb, Elliott H.; Sigal, Israel M.; et al. (1988) Approximate
neutrality of large-Z ions; Communications in Mathematical Physics;
Vol. 116; No. 4; 635-644; 10.1007/bf01224904
- Kechris, Alexander S. and Lyons, Russell (1988) Ordinal
Rankings on Measures Annihilating Thin Sets; Transactions of the
American Mathematical Society; Vol. 310; No. 2; 747-758; 10.2307/2000989
- Avron, J. E.; Sadun, L.; et al. (1988) Topological
Invariants in Fermi Systems with Time-Reversal Invariance; Physical
Review Letters; Vol. 61; No. 12; 1329-1332; 10.1103/PhysRevLett.61.1329
- Englisch, H.; Kirsch, W.; et al. (1988) Density
of Surface States in Discrete Models; Physical Review Letters; Vol.
61; No. 11; 1261-1262; 10.1103/PhysRevLett.61.1261
- Kechris, Alexander S. (1988) The
Descriptive Set Theory of σ-Ideals of Compact Sets; ISBN
978-0-444-87455-9; Logic Colloquium 1988: Proceedings of the Colloquium;
Elsevier Science: Amsterdam; 117-138
- Chung, F. R. K.; Graham, R. L.; et al. (1988) Quasi-Random
Graphs; Proceedings of the National Academy of Sciences of the
United States of America; Vol. 85; No. 4; 969-970; PMCID PMC279681; 10.1073/pnas.85.4.969
- Aschbacher, Michael (1988) Some
multilinear forms with large isometry groups; Geometriae Dedicata;
Vol. 25; No. 1-3; 417-465; 10.1007/bf00191936
- Kechris, Alexander S. (1988) “AD
+ uniformization” is equivalent to “half ad_R”; ISBN
978-3-540-50020-9; Cabal Seminar 81-85; Springer: Berlin; 98-102; 10.1007/BFb0084971
- Kechris, Alexander S. (1988) A
coding theorem for measures; ISBN 978-3-540-50020-9; Cabal Seminar
81–85; Springer: Berlin; 103-109; 10.1007/BFb0084972
- Aschbacher, Michael (1988) Some
Multilinear Forms with Large Isometry Groups; ISBN 9789401082822;
Geometries and Groups; Springer Netherlands: Dordrecht; 417-465; 10.1007/978-94-009-4017-8_15
- Kechris, Alexander S. (1988) Subsets
of ℵ_1 constructible from a real; ISBN 978-3-540-50020-9; Cabal
Seminar 81-85; Springer: Berlin; 110-116; 10.1007/BFb0084973
- Ajtai, M. and Kechris, A. S. (1987) The
Set of Continuous Functions with the Everywhere Convergent Fourier
Series; Transactions of the American Mathematical Society; Vol. 302;
No. 1; 207-221; 10.2307/2000906
- Bollé, D.; Gesztesy, F.; et al. (1987) Witten
index, axial anomaly, and Krein’s spectral shift function in
supersymmetric quantum mechanics; Journal of Mathematical Physics;
Vol. 28; No. 7; 1512-1525; 10.1063/1.527508
- Kechris, A. S.; Louveau, A.; et al. (1987) The
Structure of σ-Ideals of Compact Sets; Transactions of the American
Mathematical Society; Vol. 301; No. 1; 263-288; 10.2307/2000338
- Kechris, Alexander S. and Louveau, Alain (1987) Characterizing
Rajchman Measures; ISBN 9780521358118; Descriptive Set Theory and
the Structure of Sets of Uniqueness; Cambridge University Press:
Cambridge; 309-327; 10.1017/CBO9780511758850.012
- Kechris, Alexander S. and Louveau, Alain (1987) Classification
of the Complexity of U; ISBN 9780521358118; Descriptive Set Theory
and the Structure of Sets of Uniqueness; Cambridge University Press:
Cambridge; 104-138; 10.1017/CBO9780511758850.007
- Kechris, Alexander S. and Louveau, Alain (1987) Decomposing
U-Sets into Simpler Sets; ISBN 9780521358118; Descriptive Set Theory
and the Structure of Sets of Uniqueness; Cambridge University Press:
Cambridge; 193-230; 10.1017/CBO9780511758850.009
- Kechris, Alexander S. and Louveau, Alain (1987) Descriptive
Set Theory and the Structure of Sets of Uniqueness; ISBN
9780521358118; 10.1017/CBO9780511758850
- Kechris, Alexander S. and Louveau, Alain (1987) Extended
Uniqueness Sets; ISBN 9780521358118; Descriptive Set Theory and the
Structure of Sets of Uniqueness; Cambridge University Press: Cambridge;
266-308; 10.1017/CBO9780511758850.011
- Aschbacher, M.; Cohen, A. M.; et al. (1987) Geometries
and Groups; ISBN 978-94-010-8282-2; 10.1007/978-94-009-4017-8
- Kechris, Alexander S. and Louveau, Alain (1987) Introduction;
ISBN 9780511758850; Descriptive Set Theory and the Structure of Sets of
Uniqueness; Cambridge University Press: Cambridge; 1-16; 10.1017/cbo9780511758850.002
- Kechris, Alexander S. and Louveau, Alain (1987) Preface;
ISBN 9780511758850; Descriptive Set Theory and the Structure of Sets of
Uniqueness; Cambridge University Press: Cambridge; vii; 10.1017/cbo9780511758850.001
- Kechris, Alexander S. and Louveau, Alain (1987) Sets
of resolution and synthesis; ISBN 9780511758850; Descriptive Set
Theory and the Structure of Sets of Uniqueness; Cambridge University
Press: Cambridge; 328-348; 10.1017/cbo9780511758850.013
- Kechris, Alexander S. and Louveau, Alain (1987) Symmetric
perfect sets and the Salem-Zygmund theorem; ISBN 9780511758850;
Descriptive Set Theory and the Structure of Sets of Uniqueness;
Cambridge University Press: Cambridge; 80-103; 10.1017/cbo9780511758850.006
- Kechris, Alexander S. and Louveau, Alain (1987) The
Algebra A of Functions with Absolutely Convergent Fourier Series,
Pseudofunctions and Pseudomeasures; ISBN 9780521358118; Descriptive
Set Theory and the Structure of Sets of Uniqueness; Cambridge University
Press: Cambridge; 51-79; 10.1017/CBO9780511758850.005
- Kechris, Alexander S. (1987) The
Complexity of Antidifferentiation, Denjoy Totalization, and
Hyperarithmetic Reals; ISBN 978-0-8218-0110-9; Proceedings of the
International Congress of Mathematicians; American Mathematical Society:
Providence, RI; 307-313
- Kechris, Alexander S. and Louveau, Alain (1987) The
Piatetski-Shapiro hierarchy of U-sets; ISBN 9780511758850;
Descriptive Set Theory and the Structure of Sets of Uniqueness;
Cambridge University Press: Cambridge; 139-192; 10.1017/cbo9780511758850.008
- Kechris, Alexander S. and Louveau, Alain (1987) The
shrinking method, the theorem of Körner and Kaufman, and the solution to
the Borel basis problem for U; ISBN 9780511758850; Descriptive Set
Theory and the Structure of Sets of Uniqueness; Cambridge University
Press: Cambridge; 231-265; 10.1017/cbo9780511758850.010
- Kechris, Alexander S. and Louveau, Alain (1987) Trigonometric
series and sets of uniqueness; ISBN 9780511758850; Descriptive Set
Theory and the Structure of Sets of Uniqueness; Cambridge University
Press: Cambridge; 21-50; 10.1017/cbo9780511758850.004
- Kechris, Alexander S. and Woodin, W. Hugh (1986) Ranks
of differentiable functions; Mathematika; Vol. 33; No. 2; 252-278;
10.1112/S0025579300011244
- Simon, Barry (1986) Schrödinger
semigroups on the scale of Sobolev spaces; Pacific Journal of
Mathematics; Vol. 122; No. 2; 475-480
- Aschbacher, Michael (1986) Finite
simple groups and their subgroups; ISBN 9783540164562; Group Theory,
Beijing 1984; Springer: Berlin, Heidelberg; 1-57; 10.1007/bfb0076170
- Kechris, Alexander S. and Solovay, Robert M. (1985) On
the Relative Consistency Strength of Determinacy Hypothesis;
Transactions of the American Mathematical Society; Vol. 290; No. 1;
179-211; 10.2307/1999790
- Kechris, Alexander S. (1985) Determinacy
with Complicated Strategies; Proceedings of the American
Mathematical Society; Vol. 94; No. 2; 333-336; 10.1090/S0002-9939-1985-0784188-0
- Simon, Barry; Taylor, Michael; et al. (1985) Some
Rigorous Results for the Anderson Model; Physical Review Letters;
Vol. 54; No. 14; 1589-1592; 10.1103/PhysRevLett.54.1589
- Simon, Barry (1985) Almost
periodic Schrödinger operators IV. The Maryland model; Annals of
Physics; Vol. 159; No. 1; 157-183; 10.1016/0003-4916(85)90196-4
- Kechris, Alexander S. (1985) Determinacy
and the Structure of L(R); ISBN 978-0-8218-1447-5; Recursion Theory;
American Mathematical Society: Providence, RI; 271-283; 10.1090/pspum/042
- Kechris, Alexander S. (1985) Sets
of everywhere singular functions; ISBN 978-3-540-15673-4; Recursion
theory week; Springer-Verlag: Berlin; 233-244; 10.1007/BFb0076223
- Simon, Barry (1985) Some
aspects of the theory of Schrödinger operators; ISBN 9783540160359;
Schrödinger Operators; Springer: Berlin, Heidelberg; 177-203; 10.1007/bfb0080333
- Simon, Barry (1984) Semiclassical
analysis of low lying elgenvalues. III. Width of the ground state band
in strongly coupled solids; Annals of Physics; Vol. 158; No. 2;
415-420; 10.1016/0003-4916(84)90125-8
- Delyon, Francois; Simon, Barry; et al. (1984) From
Power-Localized to Extended States in a Class of One-Dimensional
Disordered Systems; Physical Review Letters; Vol. 52; No. 24;
2187-2189; 10.1103/PhysRevLett.52.2187
- Harrell, Evans M.; Corngold, Noel; et al. (1984) The
mathematical theory of resonances whose widths are exponentially small,
II; Journal of Mathematical Analysis and Applictions; Vol. 99;
No. 2; 447-457; 10.1016/0022-247X(84)90225-7
- Lieb, Elliott H.; Sigal, Israel M.; et al. (1984) Asymptotic
Neutrality of Large-Z Ions; Physical Review Letters; Vol. 52;
No. 12; 994-996; 10.1103/PhysRevLett.52.994
- Kechris, Alexander S. (1984) The
Axiom of Determinacy Implies Dependent Choices in L(R); Journal of
Symbolic Logic; Vol. 49; No. 1; 161-173
- Becker, Howard S. and Kechris, Alexander S. (1984) Sets
of ordinals constructible from trees and the third Victoria Delfino
problem; ISBN 978-0-8218-5026-8; Axiomatic Set Theory; American
Mathematical Society: Providence, RI; 13-29; 10.1090/conm/031
- Simon, Barry (1983) Holonomy,
the Quantum Adiabatic Theorem, and Berry’s Phase; Physical Review
Letters; Vol. 51; No. 24; 2167-2170; 10.1103/PhysRevLett.51.2167
- Avron, J. E.; Seiler, R.; et al. (1983) Homotopy
and Quantization in Condensed Matter Physics; Physical Review
Letters; Vol. 51; No. 1; 51-53; 10.1103/PhysRevLett.51.51
- Avron, J.; Craig, W.; et al. (1983) Large
coupling behaviour of the Lyapunov exponent for tight binding
one-dimensional random systems; Journal of Physics A: Mathematical
and General; Vol. 16; No. 7; L209-L211; 10.1088/0305-4470/16/7/002
- Simon, Barry (1983) Equality
of the density of states in a wide class of tight-binding Lorentzian
random models; Physical Review B; Vol. 27; No. 6; 3859-3860; 10.1103/PhysRevB.27.3859
- Kechris, Alexander S. and Woodin, W. Hugh (1983) Equivalence
of partition properties and determinacy; Proceedings of the National
Academy of Sciences of the United States of America; Vol. 80; No. 6;
1783-1786; PMCID PMC393690
- Simon, Barry (1983) Some
quantum operators with discrete spectrum but classically continuous
spectrum; Annals of Physics; Vol. 146; No. 1; 209-220; 10.1016/0003-4916(83)90057-X
- Kechris, Alexander S.; Martin, Donald A.; et al. (1983) Introduction
to Q-Theory; ISBN 978-3-540-12688-1; Cabal Seminar 79-81; Springer:
Berlin; 199-282; 10.1007/BFb0071702
- Simon, Barry (1982) Almost
periodic Schrödinger operators: A Review; Advances in Applied
Mathematics; Vol. 3; No. 4; 463-490; 10.1016/s0196-8858(82)80018-3
- Simon, Barry (1982) Continuity
of the density of states in a magnetic field; Journal of Physics A:
Mathematical and General; Vol. 15; No. 9; 2981-2983; 10.1088/0305-4470/15/9/043
- Simon, Barry (1982) Almost
periodic Schröder operators: A review; ISBN 9783540111924;
Mathematical Problems in Theoretical Physics; Springer Berlin
Heidelberg: Berlin, Heidelberg; 157; 10.1007/3-540-11192-1_30
- Kechris, Alexander S. (1982) Effective
Ramsey Theorems in the Projective Hierarchy; ISBN 9780444864178;
Proceedings of the Herbrand Symposium; Elsevier: Amsterdam; 179-187; 10.1016/S0049-237X(08)71883-4
- Harrington, Leo A. and Kechris, Alexander S. (1982) Ordinal
games and their applications; ISBN 0-444-85423-1; Logic,
methodology, and philosophy of science VI; North-Holland Publishing Co.:
Amsterdam; 273-277
- Kechris, Alexander S. (1981) Forcing
with Δ perfect trees and minimal Δ-degrees; Journal of Symbolic
Logic; Vol. 46; No. 4; 803-816
- Simon, Barry (1981) Spectrum
and continuum eigenfunctions of Schrödinger operators; Journal of
Functional Analysis; Vol. 42; No. 3; 347-355; 10.1016/0022-1236(81)90094-X
- Harrington, Leo A. and Kechris, Alexander S. (1981) On
the determinacy of games on ordinals; Annals of Mathematical Logic;
Vol. 20; No. 2; 109-154; 10.1016/0003-4843(81)90001-2
- Avron, Joseph and Simon, Barry (1981) The
Asymptotics of the Gap in the Mathieu Equation; Annals of Physics;
Vol. 134; No. 1; 76-84; 10.1016/0003-4916(81)90005-1
- Avron, Joseph E. and Simon, Barry (1981) Almost
Periodic Hill’s Equation and the Rings of Saturn; Physical Review
Letters; Vol. 46; No. 17; 1166-1168; 10.1103/PhysRevLett.46.1166
- Kechris, Alexander S. (1981) A
note on Wadge degrees; ISBN 978-3-540-38422-9; Cabal Seminar 77-79;
Springer-Verlag: Berlin; 165-168; 10.1007/BFb0090240
- Kechris, Alexander S. (1981) Homogeneous
trees and projective scales; ISBN 978-3-540-10288-5; Cabal Seminar
77-79; Springer-Verlag: Berlin; 33-73; 10.1007/BFb0090235
- Simon, Barry (1981) Pointwise
domination of matrices and comparison of ℐ_p norms; Pacific Journal
of Mathematics; Vol. 97; No. 2; 471-475
- Kechris, Alexander S. (1981) Souslin
cardinals, κ-souslin sets and the scale property in the hyperprojective
hierarchy; ISBN 978-3-540-10288-5; Cabal Seminar 77-79;
Springer-Verlag: Berlin; 127-146; 10.1007/BFb0090238
- Kechris, Alexander S.; Solovay, Robert M.; et al. (1981) The
axiom of determinacy and the prewellordering property; ISBN
978-3-540-10288-5; Cabal Seminar 77-79; Springer-Verlag: Berlin;
101-125; 10.1007/BFb0090237
- Kechris, Alexander S.; Kleinberg, Eugene M.; et al. (1981) The
axiom of determinacy, strong partition properties and nonsingular
measures; ISBN 978-3-540-10288-5; Cabal Seminar 77-79;
Springer-Verlag: Berlin; 75-99; 10.1007/BFb0090236
- Klaus, M. and Simon, Barry (1980) Coupling
Constant Thresholds in Nonrelativistic Quantum Mechanics. I. Short-Range
Two-Body Case; Annals of Physics; Vol. 130; No. 2; 251-281; 10.1016/0003-4916(80)90338-3
- Schecter, M. and Simon, B. (1980) Unique
continuation for Schrodinger operators with unbounded potentials;
Journal of Mathematical Analysis and Applictions; Vol. 77; No. 2;
482-492; 10.1016/0022-247X(80)90242-5
- Miller, Keith and Simon, Barry (1980) Quantum
Magnetic Hamiltonians with Remarkable Spectral Properties; Physical
Review Letters; Vol. 44; No. 25; 1706-1707; 10.1103/PhysRevLett.44.1706
- Aschbacher, Michael (1980) Classification
of the Finite Simple Groups; Mathematical Intelligencer; Vol. 3;
No. 2; 59-65; 10.1007/bf03022850
- Simon, Barry (1980) Decay
of Correlations in Ferromagnets; Physical Review Letters; Vol. 44;
No. 8; 547-549; 10.1103/PhysRevLett.44.547
- Enss, V. and Simon, B. (1980) Bounds
on Total Cross Sections in Atom-Atom and Atom-Ion Collisions by
Geometric Methods; Physical Review Letters; Vol. 44; No. 5; 319-322;
10.1103/PhysRevLett.44.319
- Kechris, Alexander S. (1980) Recent
Advances in the Theory of Higher Level Projective Sets; ISBN
978-0-444-85345-5; The Kleene Symposium; Elsevier: Amsterdam; 149-166;
10.1016/S0049-237X(08)71258-8
- Avron, J. E.; Herbst, I. W.; et al. (1979) Strongly
bound states of hydrogen in intense magnetic field; Physical Review
A; Vol. 20; No. 6; 2287-2296; 10.1103/PhysRevA.20.2287
- Benassi, L.; Grecchi, V.; et al. (1979) Bender-Wu
Formula and the Stark Effect in Hydrogen; Physical Review Letters;
Vol. 42; No. 11; 704-707; 10.1103/PhysRevLett.42.704
- Kechris, Alexander S. (1979) An
overview of descriptive set theory; Publications Mathématiques de
l’Université Pierre et Marie Curie; Vol. 4
- Kechris, Alexander S. (1978) Countable
ordinals and the analytical hierarchy, II; Annals of Mathematical
Logic; Vol. 15; No. 3; 193-223; 10.1016/0003-4843(78)90010-4
- Kechris, Alexander S. (1978) The
Perfect Set Theorem and Definable Wellorderings of the Continuum;
Journal of Symbolic Logic; Vol. 43; No. 4; 630-634
- Kechris, Alexander S. (1978) Minimal
Upper Bounds for Sequences of Δ^1_(2n)-Degrees; Journal of Symbolic
Logic; Vol. 43; No. 3; 502-507
- Herbst, I. W. and Simon, B. (1978) Stark
Effect Revisited; Physical Review Letters; Vol. 41; No. 2; 67-69; 10.1103/PhysRevLett.41.67
- Kechris, A. S. and Martin, D. A. (1978) On
the theory of ∏_3^1 sets of reals; Bulletin of the American
Mathematical Society; Vol. 84; No. 1; 149-151; 10.1090/S0002-9904-1978-14447-4
- Kechris, Alexander S. (1978) AD
and projective ordinals; ISBN 978-3-540-09086-1; Cabal Seminar
76-77; Springer: Berlin; 91-132; 10.1007/BFb0069296
- Kechris, Alexander S. (1978) Forcing
in analysis; ISBN 978-3-540-08926-1; Higher Set Theory;
Springer-Verlag: Berlin; 277-302; 10.1007/BFb0103105
- Kechris, Alexander S. and Moschovakis, Yiannis N. (1978) Notes
on the Theory of Scales; ISBN 978-3-540-09086-1; Cabal Seminar
76–77; Springer: Berlin; 1-53; 10.1007/BFb0069294
- Kechris, Alexander S. (1978) On
Spector classes; ISBN 9783540090861; Cabal Seminar 76–77; Springer:
Berlin; 245-277; 10.1007/BFb0069303
- Kechris, Alexander S. (1978) On
Transfinite Sequences of Projective Sets with an Application to ∑^1_2
Equivalence Relations; ISBN 9780444851789; Logic Colloquium ’77;
North Holland Publishing Company: Amsterdam; 155-160; 10.1016/S0049-237X(08)71998-0
- Kechris, Alexander S. (1978) Spector
second order classes and reflection; ISBN 9780444851635; Generalized
recursion theory II; North-Holland Publishing Company: Amsterdam;
147-183
- Avron, J.; Herbst, I.; et al. (1977) Formation
of Negative Ions in Magnetic Fields; Physical Review Letters; Vol.
39; No. 17; 1068-1070; 10.1103/PhysRevLett.39.1068
- Kechris, Alexander S. (1977) On
a notion of smallness for subsets of the Baire space; Transactions
of the American Mathematical Society; Vol. 229; 191-207
- Kechris, Alexander S. (1977) Classifying
Projective-like Hierarchies; Bulletin of the Greek Mathematical
Society; Vol. 18; No. 2; 254-275
- Harrington, Leo and Kechris, Alexander S. (1977) ∏^1_2
singletons and O^#; Fundamenta Mathematicae; Vol. 95; No. 3;
167-171
- Harrington, Leo A. and Kechris, Alexander S. (1976) On
Monotone vs. Nonmonotone Induction; Bulletin of the American
Mathematical Society; Vol. 82; No. 6; 888-890
- Dyson, Freeman J.; Lieb, Elliott H.; et al. (1976) Phase
Transitions in the Quantum Heisenberg Model; Physical Review
Letters; Vol. 37; No. 3; 120-123; 10.1103/PhysRevLett.37.120
- Simon, Barry (1976) Universal
Diamagnetism of Spinless Bose Systems; Physical Review Letters; Vol.
36; No. 18; 1083-1084; 10.1103/PhysRevLett.36.1083
- Harrington, Leo A. and Kechris, Alexander S. (1975) A
Basis Result for Σ^0_3 Sets of Reals with an Application to Minimal
Covers; Proceedings of the American Mathematical Society; Vol. 53;
No. 2; 445-448
- Seiler, E. and Simon, B. (1975) An
inequality among determinants; Proceedings of the National Academy
of Sciences of the United States of America; Vol. 72; No. 9; 3277-3278;
PMCID PMC432972
- Kechris, A. S. and Martin, D. A. (1975) A
note on universal sets for classes of countable G_δ’S; Mathematika;
Vol. 22; No. 1; 43-45; 10.1112/S0025579300004484
- Harrington, Leo A. and Kechris, Alexander S. (1975) On
Characterizing Spector Classes; Journal of Symbolic Logic; Vol. 40;
No. 1; 19-24
- Kechris, Alexander S. (1975) The
Theory of Countable Analytical Sets; Transactions of the American
Mathematical Society; Vol. 202; No. 2; 259-297
- Kechris, A. S. (1975) Countable
ordinals and the analytical hierarchy, I; Pacific Journal of
Mathematics; Vol. 60; No. 1; 223-227
- Kechris, A. S. (1975) Countable
ordinals and the analytical hierarchy. I.; Pacific Journal of
Mathematics; Vol. 60; No. 1; 223-227
- Kechris, Alexander S. (1974) On
Projective Ordinals; Journal of Symbolic Logic; Vol. 39; No. 2;
269-282
- Lieb, Elliott H. and Simon, Barry (1973) Thomas-Fermi
Theory Revisited; Physical Review Letters; Vol. 31; No. 11; 681-683;
10.1103/PhysRevLett.31.681
- Kechris, Alexander S. (1973) Measure
and category in effective descriptive set theory; Annals of
Mathematical Logic; Vol. 5; No. 4; 337-384; 10.1016/0003-4843(73)90012-0
- Simon, Barry and Griffiths, Robert
- Griffiths-Hurst-Sherman
Inequalities and a Lee-Yang Therorem for the(ϕ^4)_2 Field Theory;
Physical Review Letters; Vol. 30; No. 19; 931-933; 10.1103/PhysRevLett.30.931
- Aschbacher, Michael (1973) A
characterization of the unitary and symplectic groups over finite fields
of characteristic at least 5;
Pacific Journal of Mathematics; Vol. 47; No. 1; 5-26
- Kechris, Alexander S. and Moschovakis, Yiannis N. (1972) Two
theorems about projective sets; Israel Journal of Mathematics; Vol.
12; No. 4; 391-399; 10.1007/BF02764630
- Simon, Barry (1972) Summability
Methods, the Strong Asymptotic Condition, and Unitarity in Quantum Field
Theory; Physical Review Letters; Vol. 28; No. 17; 1145-1146; 10.1103/PhysRevLett.28.1145
- Simon, Barry (1970) Borel
Summability of the Ground-State Energy in Spatially Cutoff (ϕ^4)_2;
Physical Review Letters; Vol. 25; No. 22; 1583-1586; 10.1103/PhysRevLett.25.1583
- Simon, Barry (1970) Some
Comments on the Jin-Martin Lower Bound; Physical Review D; Vol. 1;
No. 4; 1240-1241; 10.1103/PhysRevD.1.1240
- Loeffel, J. J.; Martin, A.; et al. (1969) Pade
approximants and the anharmonic oscillator; Physics Letters B; Vol.
30; No. 9; 656-658; 10.1016/0370-2693(69)90087-2
- Simon, Barry (1969) On
the Growth of the Ground‐State Binding Energy with Increase in Potential
Strength; Journal of Mathematical Physics; Vol. 10; No. 8;
1415-1421; 10.1063/1.1664983
- Simon, Barry (1969) On
the Growth of the Number of Bound States with Increase in Potential
Strength; Journal of Mathematical Physics; Vol. 10; No. 7;
1123-1126; 10.1063/1.1664948
- Simon, B. (1969) Convergence
of regularized, renormalized perturbation series for
super-renormalizable field theories; Il Nuovo Cimento A Series 10;
Vol. 59; No. 1; 199-214; 10.1007/bf02756356