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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
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Flach, Matthias and Morin, Baptiste (2021) Compatibility
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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
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Marcolli, Matilde and Penrose, Roger (2020) Gluing
Noncommutative Twistor Spaces ; 10.48550/arXiv.2012.02823v1
Frank, Rupert L.; König, Tobias; et al. (2020) Classification
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Aschbacher, Michael (2020) Fusion
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Mathematical Society; Vol. 102; No. 3; 905-956; 10.1112/jlms.12335
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Hutchcroft, Tom (2020) New
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10.2140/pmp.2020.1.147
Hutchcroft, Tom (2020) Transience
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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
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Rains, Eric M. (2020) Elliptic
Double Affine Hecke Algebras ; Symmetry, Integrability and Geometry:
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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.
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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.
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Castelvecchi, Davide and Simon, Barry (2020) The
mathematician who helped to reshape physics ; Nature; Vol. 584;
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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
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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
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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
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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
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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
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Gu, Yingfei; Kitaev, Alexei; et al. (2020) Notes
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Hutchcroft, Tom (2020) Universality
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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
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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
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Feigin, Boris and Gukov, Sergei (2020) VOA[M₄] ;
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Kurasov, Pavel; Laptev, Ari; et al. (2020) Analysis
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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:
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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
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Trends in Set Theory; American Mathematical Society: Providence, RI;
113-119; 10.1090/conm/752/15132
Song, Antoine (2019) Appearance
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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
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Ni, Yi and Vafaee, Faramarz (2019) Null
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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
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Song, Antoine (2019) Morse
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Jitomirskaya, Svetlana; Molchanovsimon, Stanislav; et al. (2019) Alexander
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Chen, Yu-An; Kapustin, Anton; et al. (2019) Free
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Frank, Rupert L. and König, Tobias (2019) Singular
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Gadde, Abhijit; Gukov, Sergei; et al. (2019) Exact
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Frank, Rupert L. and Pushnitski, Alexander (2019) Schatten
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Henri Poincaré; Vol. 20; No. 11; 3543-3562; 10.1007/s00023-019-00838-8
Hutchcroft, Tom (2019) Non-intersection
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Cheng, Miranda C. N.; Chun, Sungbong; et al. (2019) 3d
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Hutchcroft, Tom and Peres, Yuval (2019) The
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Benjamin, Nathan; Ooguri, Hirosi; et al. (2019) Light-cone
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Hutchcroft, Tom and Nachmias, Asaf (2019) Uniform
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Frank, Rupert L. and Lieb, Elliott H. (2019) Periodic
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Hutchcroft, Tom (2019) Self-avoiding
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Keel, Sean and Yu, Tony Yue (2019) The
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Conlon, David (2019) Graphs
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Kapustin, Anton and Spodyneiko, Lev (2019) Absence
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Frisch, Joshua and Tamuz, Omer (2019) Characteristic
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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
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Frisch, Joshua; Hartman, Yair; et al. (2019) Choquet-Deny
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Frank, Rupert L. (2019) Non-spherical
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Conlon, David; Fox, Jacob; et al. (2019) Hypergraph
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Conlon, David (2019) Hypergraph
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Martínez–Finkelshtein, Andrei; Simanek, Brian; et al. (2019) Poncelet’s
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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,
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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
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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
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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 -
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Kapustin, Anton; Thorngren, Ryan; et al. (2015) Fermionic
Symmetry Protected Topological Phases and Cobordisms ; Journal of
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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
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1; No. 1; Art. No. 2; 10.1007/s40818-015-0002-0
Yu, Tony Yue (2015) Tropicalization
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Marcolli, Matilde and Tedeschi, Nicolas (2015) Entropy
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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
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Ni, Yi and Wu, Zhongtao (2015) Correction
terms, Z_2-Thurston norm, and triangulations ; Topology and Its
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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
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Fourier; Vol. 65; No. 4; 1647-1667; 10.5802/aif.2970
Bao, Ning; Nezami, Sepehr; et al. (2015) The
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Okounkov, Andrei and Rains, Eric (2015) Noncommutative
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Conlon, David; Fox, Jacob; et al. (2015) On
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Conlon, David (2015) Rational
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Ground State Energy of a Polaron in a Strong Magnetic Field ;
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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
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Rains, Eric M. and Warnaar, S. Ole (2015) Bounded
Littlewood identities ; 10.48550/arXiv.1506.02755
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of Gravitational Systems from Entanglement of Conformal Field
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Conlon, David; Fox, Jacob; et al. (2015) A
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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
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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;
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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
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Bengurla, Rafael D.; Frank, Rupert L.; et al. (2015) Ground
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Conlon, David; Fox, Jacob; et al. (2015) The
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Katz, Nets and Tapay, Andrew (2015) A
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Dimitrov, Mladen and Ramakrishnan, Dinakar (2015) Arithmetic
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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
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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 ;
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Simon, Barry (2014) Ed
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Cornelissen, Gunther and Marcolli, Matilde (2014) Quantum
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Katz, Nets Hawk (2014) The
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9788961058063; Seoul ICM Proceedings; Kyung Moon SA: Seoul, Korea;
303-314; 10.48550/arXiv.1404.3412
Marcolli, Matilde (2014) Principles
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Manin, Yuri I. and Marcolli, Matilde (2014) Big
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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
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Marcolli, Matilde and Tabuada, Gonçalo (2014) Jacobians
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87-151; 10.1007/978-3-319-06514-4_4
Kapustin, Anton and Thorngren, Ryan (2014) Anomalous
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Benjamini, Itai; Chan, Siu-On; et al. (2014) Convergence,
unanimity and disagreement in majority dynamics on unimodular graphs and
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Conlon, David; Fox, Jacob; et al. (2014) Extremal
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46th Annual ACM Symposium on Theory of Computing; ACM: New York, NY;
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Manin, Yuri and Marcolli, Matilde (2014) Kolmogorov
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Journal of Differential Geometry; Vol. 97; No. 1; 91-108; 10.48550/arXiv.1203.0653
Mossel, Elchanan; Neeman, Joe; et al. (2014) Majority
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Kapustin, Anton (2014) Symmetry
Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group
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Gadde, Abhijit; Gukov, Sergei; et al. (2014) Duality
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Kapustin, Anton and Seiberg, Nathan (2014) Coupling
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Ceyhan, Özgür and Marcolli, Matilde (2014) Algebraic
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Marcolli, M. and Tedeschi, N. (2014) Multifractals,
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Dimitrov, Mladen and Ramakrishnan, Dinakar (2014) Compact
arithmetic quotients of the complex 2-ball and a conjecture of Lang ;
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Gadde, Abhijit; Gukov, Sergei; et al. (2014) (0,
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Marcolli, Matilde and van Suijlekom, Walter D. (2014) Gauge
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Marcolli, Matilde and Tabuada, Gonçalo (2014) Noncommutative
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Marcolli, Matilde (2014) Noncommutative
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algebraic and topological methods for quantum field theory; World
Scientific Publishing: Hackensack, NJ; 189-223; 10.1142/9789814460057_0005
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Conlon, David (2014) Combinatorial
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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
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Frank, Rupert L. (2014) Cwikel’s
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Yu, Tony Yue (2014) The
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L’Enseignement Mathématique; Vol. 60; No. 3/4; 257-271; 10.4171/lem/60-3/4-3
Marcolli, Matilde and Thorngren, Ryan (2014) Thermodynamic
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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.
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Conlon, David; Fox, Jacob; et al. (2013) Two
extensions of Ramsey’s theorem ; Duke Mathematical Journal; Vol. 162;
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Gur, Tom and Tamuz, Omer (2013) Testing
Booleanity and the Uncertainty Principle ; Chicago Journal of
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Keller, Christoph A. and Ooguri, Hirosi (2013) Modular
Constraints on Calabi-Yau Compactifications ; Communications in
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Conley, Clinton T.; Kechris, Alexander S.; et al. (2013) Stationary
probability measures and topological realizations ; Israel Journal of
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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
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Hedden, Matthew and Ni, Yi (2013) Khovanov
module and the detection of unlinks ; Geometry and Topology; Vol. 17;
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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;
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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;
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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
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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;
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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
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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;
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Bell, M. T.; Sadovskyy, I. A.; et al. (2012) Quantum
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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
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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;
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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
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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
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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
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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
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59; No. 4; 563-566; 10.1090/noti826
Christiansen, Jacob S.; Simon, Barry; et al. (2012) Finite
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Nakayama, Yu and Ooguri, Hirosi (2012) Comments
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B; Vol. 856; No. 2; 342-359; 10.1016/j.nuclphysb.2011.11.010
Aschbacher, Michael (2012) Lower
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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
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Gukov, Sergei and Sułkowski, Piotr (2012) A-polynomial,
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Frank, Rupert L. and Loss, Michael (2012) Hardy-Sobolev-Maz’ya
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Poonen, Bjorn and Rains, Eric (2012) Random
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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
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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
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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
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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
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Vol. 2011; No. 12; 87; 10.1007/JHEP12(2011)087
Flach, Matthias (2011) On
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65-119; 10.1007/s11537-011-1033-2
Frongillo, Rafael M.; Schoenebeck, Grant; et al. (2011) Social
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Network Economics; Springer-Verlag: Berlin Heidelberg; 146-157; 10.1007/978-3-642-25510-6_13
Dimofte, Tudor; Gukov, Sergei; et al. (2011) Vortex
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Eguchi, Tohru; Ooguri, Hirosi; et al. (2011) Notes
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van de Bult, Fokko J. and Rains, Eric M. (2011) Limits
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van de Bult, Fokko J. and Rains, Eric M. (2011) Limits
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Conlon, David (2011) Inevitable
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Ooguri, Hirosi; Sułkowski, Piotr; et al. (2011) Wall
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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
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American Mathematical Society; Vol. 21; No. 4; 925-950; 10.1090/S0894-0347-07-00582-6
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estimates for the Aharonov-Bohm operator in a domain ; 10.48550/arXiv.0710.1089
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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
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van de Bult, F. J.; Rains, E. M.; et al. (2007) Properties
of Generalized Univariate Hypergeometric Functions ; Communications
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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.
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Aganagic, Mina; Okuda, Takuya; et al. (2007) Quantum
Entanglement of Baby Universes ; Nuclear Physics B; Vol. 778;
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Kawano, Teruhiko; Ooguri, Hirosi; et al. (2007) Gauge
mediation in string theory ; Physics Letters B; Vol. 652; No. 1;
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in an anyonic Mach-Zehnder interferometer ; Physical Review B; Vol.
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Green, Michael B.; Ooguri, Hirosi; et al. (2007) Nondecoupling
of Maximal Supergravity from the Superstring ; Physical Review
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Etingof, Pavel; Oblomkov, Alexei; et al. (2007) Generalized
double affine Hecke algebras of rank 1 and quantized del Pezzo
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Etingof, Pavel; Latour, Frédéric; et al. (2007) On
central extensions of preprojective algebras ; Journal of Algebra;
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Frank, Rupert L. (2007) On
the asymptotic number of edge states for magnetic Schrödinger
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Conlon, David; Jungić, Veselin; et al. (2007) On
the Existence of Rainbow 4-Term Arithmetic Progressions ; Graphs and
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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
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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
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Kitano, Ryuichiro; Ooguri, Hirosi; et al. (2007) Direct
mediation of metastable supersymmetry breaking ; Physical Review D;
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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;
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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
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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
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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
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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 ;
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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
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Non-Abelian Statistics with an Electronic Mach-Zehnder
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Kapustin, Anton (2006) Wilson-’t
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Etingof, Pavel and Rains, Eric (2006) Central
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Tamuz, O.; Mazeh, T.; et al. (2006) Automated
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Kapustin, Anton and Witten, Edward (2006) Electric-Magnetic
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Rains, Eric M. (2006) BC_n-symmetric
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Ooguri, Hirosi (2006) Entropy
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Simon, Barry (2005) Sturm
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Gukov, Sergei (2005) Three-Dimensional
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Kapustin, Anton (2005) A-branes
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Ooguri, Hirosi; Vafa, Cumrun; et al. (2005) Hartle-Hawking
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Marcolli, Matilde and Mathai, Varghese (2005) Towards
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Lagarias, Jeffrey C. and Rains, Eric (2005) Dynamics
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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 ${\rm SL}(2)$ } ; 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
