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Bukh, Boris and Conlon, David (2018) Rational
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Fathizadeh, Farzad and Marcolli, Matilde (2017) Periods
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Kapustin, Anton and Thorngren, Ryan (2017) Fermionic
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Hutchcroft, Tom and Peres, Yuval (2017) Boundaries
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Ormerod, Chris M. and Rains, Eric M. (2017) An
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Gukov, Sergei and Pei, Du (2017) Equivariant
Verlinde formula from fivebranes and vortices ; Communications in
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Frank, Rupert L. and Simon, Barry (2017) Eigenvalue
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Bao, Ning and Ooguri, Hirosi (2017) Distinguishability
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Frank, Rupert L. and Sabin, Julien (2017) Spectral
cluster bounds for orthonormal systems and oscillatory integral
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Simon, Barry (2017) Unitaries
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Ni, Yi (2017) Virtual
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Marcolli, Matilde and Zhi, Ren (2017) q-deformations
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p-Adic Numbers, Ultrametric Analysis and Applications; Vol. 9; No. 3;
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Aigner-Horev, Elad; Conlon, David; et al. (2017) Quasirandomness
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Frank, Rupert L. (2017) Eigenvalue
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Atiyah, Michael and Marcolli, Matilde (2017) Anyons
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Mossel, Elchanan and Tamuz, Omer (2017) Opinion
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Hutchcroft, Tom and Nachmias, Asaf (2017) Indistinguishability
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Gukov, Sergei (2017) RG
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Frank, Rupert L. and Schimmer, Lukas (2017) Endpoint
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Isett, Philip and Oh, Sung-Jin (2017) On
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Behrndt, Jussi; Frank, Rupert L.; et al. (2017) Spectral
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Marcolli, Matilde and Xu, Yujie (2017) Quantum
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Frank, Rupert L.; Lemm, Marius; et al. (2017) Condensation
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Conlon, David and Zhao, Yufei (2017) Quasirandom
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Marcolli, Matilde (2017) Spectral
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Kapustin, Anton and Turzillo, Alex (2017) Equivariant
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Shu, Kevin and Marcolli, Matilde (2017) Syntactic
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Conlon, David (2017) A
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Ni, Yi (2017) Fintushel-Stern
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Marcolli, Matilde and Seipp, Kyle (2017) Twisted
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Frank, Rupert L.; Méhats, Florian; et al. (2017) Averaging
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Frank, Rupert L. and Zhou, Gang (2017) Derivation
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Manin, Yuri I. and Marcolli, Matilde (2016) Semantic
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Hutchcroft, Tom (2016) Wired
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Hundertmark, Dirk and Simon, Barry (2002) Lieb–Thirring
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Gukov, Sergei and Sparks, James (2002) M-theory
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Jackson, S.; Kechris, A. S.; et al. (2002) Countable
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Kechris, A. S. and Sofronidis, N. E. (2001) A
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Rains, Eric M. and Baik, Jinho (2001) The
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Aschbacher, Michael (2000) On
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Ramm, Alexander and Simon, Barry (2000) A
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Camerlo, Riccardo and Kechris, Alexander S. (2000) Countable
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Kechris, Alexander S. (2000) On
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Ramakrishnan, Dinakar (2000) Modularity
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Ooguri, Hirosi and Vafa, Cumrun (2000) Knot
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Hjorth, G. and Kechris, A. S. (2000) The
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Kechris, Alexander S. (1999) New
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Rains, Eric M. (1999) Quantum
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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
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
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
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
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
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
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
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
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
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
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
Gordon, Alexander Y. and Kechris, Alexander S. (1998) Measurable
enumeration of eigenelements ; Applicable Analysis: An International
Journal; Vol. 71; No. 1-4; 41-61
Rains, E. M. (1998) Increasing
Subsequences and the Classical Groups ; Electronic Journal of
Combinatorics; Vol. 5; Art. No. R12
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
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
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
Mantovan, Elena (1998) Additive
extensions of a Barsotti-Tate group ; Rendiconti del Seminario
Matematico della Università di Padova; Vol. 99; 161-185
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
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
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
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
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
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
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
Robinson, Raphael M.; Goffinet, Daniel; et al. (1996) Problems:
10550-10556 ; American Mathematical Monthly; Vol. 103; No. 9;
808-809; 10.2307/2974454
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
Ooguri, Hirosi and Vafa, Cumrun (1996) Summing
up Dirichlet Instantons ; Physical Review Letters; Vol. 77; No. 16;
3296-3298; 10.1103/PhysRevLett.77.3296
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
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
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
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
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
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.; 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
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.; 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
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
Kechris, Alexander S. (1994) Countable
Sections for Locally Compact Group Actions. II ; Proceedings of the
American Mathematical Society; Vol. 120; No. 1; 241-247
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
Simon, Barry (1994) Cyclic
vectors in the Anderson model ; Reviews in Mathematical Physics; Vol.
6; No. 5a; 1183-1185; 10.1142/S0129055X94000420
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
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
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
Aschbacher, Michael (1993) Simple
connectivity of p-group complexes ; Israel Journal of Mathematics;
Vol. 82; No. 1-3; 1-43; 10.1007/bf02808107
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
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
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
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
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
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 and Segev, Yoav (1991) The
uniqueness of groups of type J₄ ; Inventiones Mathematicae; Vol. 105;
No. 1; 589-607; 10.1007/bf01232280
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
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, 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
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
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, A. S.; Louveau, A.; et al. (1991) The
Class Of Synthesizable Pseudomeasures ; Illinois Journal of
Mathematics; Vol. 35; No. 1; 107-146
Kechris, Alexander S. (1991) Amenable
Equivalence Relations and Turing Degrees ; Journal of Symbolic Logic;
Vol. 56; No. 1; 182-194; 10.2307/2274913
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, 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
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
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 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
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
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
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
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) 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
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
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
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
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
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 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
Simon, Barry (1981) Pointwise
domination of matrices and comparison of ℐ_p norms ; Pacific Journal
of Mathematics; Vol. 97; No. 2; 471-475
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
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
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
Harrington, Leo and Kechris, Alexander S. (1977) ∏^1_2
singletons and O^# ; Fundamenta Mathematicae; Vol. 95; No. 3;
167-171
Kechris, Alexander S. (1977) Classifying
Projective-like Hierarchies ; Bulletin of the Greek Mathematical
Society; Vol. 18; No. 2; 254-275
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