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Soshnikov, Alexander B.

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Author ID: soshnikov.alexander-b Recent zbMATH articles by "Soshnikov, Alexander B."
Published as: Soshnikov, Alexander; Soshnikov, A.; Soshnikov, A. B.; Soshnikov, Alexander B.
Documents Indexed: 39 Publications since 1993
Co-Authors: 19 Co-Authors with 24 Joint Publications
695 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 983 times in 627 Documents Cited by Year
Determinantal random point fields. Zbl 0991.60038
Soshnikov, Alexander
258
2000
Universality at the edge of the spectrum in Wigner random matrices. Zbl 1062.82502
Soshnikov, Alexander
119
1999
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. Zbl 1018.62042
Soshnikov, Alexander
69
2002
The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities. Zbl 1021.60018
Soshnikov, Alexander
62
2000
Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027
Sinai, Ya.; Soshnikov, A.
58
1998
Gaussian limit for determinantal random point fields. Zbl 1033.60063
Soshnikov, Alexander
50
2002
Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields. Zbl 1041.82001
Soshnikov, Alexander B.
45
2000
A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge for random symmetric matrices. Zbl 0930.15025
Sinajĭ, Ya. G.; Soshnikov, A. B.
38
1998
Products of independent non-Hermitian random matrices. Zbl 1244.60011
O’Rourke, Sean; Soshnikov, Alexander B.
36
2011
Poisson statistics for the largest eigenvalues of Wigner random matrices with heavy tails. Zbl 1060.60013
Soshnikov, Alexander
35
2004
On finite rank deformations of Wigner matrices. Zbl 1278.60014
Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander
28
2013
Products of independent elliptic random matrices. Zbl 1360.60021
O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander; Vu, Van
23
2015
Wigner random matrices with non-symmetrically distributed entries. Zbl 1139.82019
Péché, Sandrine; Soshnikov, Alexander
20
2007
Poisson statistics for the largest eigenvalues in random matrix ensembles. Zbl 1169.15302
Soshnikov, Alexander
19
2006
On finite rank deformations of Wigner matrices. II: Delocalized perturbations. Zbl 1296.60008
Renfrew, David; Soshnikov, Alexander
15
2013
On the lower bound of the spectral norm of symmetric random matrices with independent entries. Zbl 1189.15046
Péché, Sandrine; Soshnikov, Alexander
12
2008
Level spacings distribution for large random matrices: Gaussian fluctuations. Zbl 0944.60060
Soshnikov, Alexander
12
1998
Janossy densities. I: Determinantal ensembles. Zbl 1070.15020
Borodin, Alexei; Soshnikov, Alexander
11
2003
Central limit theorem for linear statistics of eigenvalues of band random matrices. Zbl 1287.60012
Li, Lingyun; Soshnikov, Alexander
11
2013
Fluctuations of matrix entries of regular functions of Wigner matrices. Zbl 1246.60014
Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander
11
2012
Fluctuations of linear eigenvalue statistics of random band matrices. Zbl 1348.15024
Jana, I.; Saha, K.; Soshnikov, A.
9
2016
On fluctuations of matrix entries of regular functions of Wigner matrices with non-identically distributed entries. Zbl 1280.15021
O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander
9
2013
Janossy densities. II: Pfaffian ensembles. Zbl 1071.15027
Soshnikov, Alexander
7
2003
Statistics of extreme spacings in determinantal random point processes. Zbl 1115.60051
Soshnikov, Alexander
6
2005
Janossy densities of coupled random matrices. Zbl 1071.82032
Soshnikov, Alexander
4
2004
Splitting of the low Landau levels into a set of positive Lebesgue measure under small periodic perturbations. Zbl 0888.60055
Dinaburg, E. I.; Sinai, Ya. G.; Soshnikov, A. B.
4
1997
Difference almost-periodic Schrödinger operators: Corollaries of localization. Zbl 0772.34060
Soshnikov, Alexander
3
1993
Distribution of singular values of random band matrices; Marchenko-Pastur law and more. Zbl 1373.15054
Jana, Indrajit; Soshnikov, Alexander
2
2017
Partial linear eigenvalue statistics for Wigner and sample covariance random matrices. Zbl 1397.60016
O’Rourke, Sean; Soshnikov, Alexander
1
2015
On the largest singular values of random matrices with independent Cauchy entries. Zbl 1067.82022
Soshnikov, Alexander; Fyodorov, Yan V.
1
2005
Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles. Zbl 1283.60012
Bufetov, Alexander; Mkrtchyan, Sevak; Shcherbina, Maria; Soshnikov, Alexander
1
2013
On resolvent identities in Gaussian ensembles at the edge of the spectrum. Zbl 1176.82004
Soshnikov, Alexander
1
2009
Gaussian approximation of the distribution of strongly repelling particles on the unit circle. Zbl 1469.60035
Soshnikov, A.; Xu, Yuanyuan
1
2021
A note on pair-dependent linear statistics with a slowly increasing variance. Zbl 1458.81043
Aguirre, A.; Soshnikov, A. B.
1
2020
Central limit theorem for \(C\beta E\) pair dependent statistics in mesoscopic regime. Zbl 07592528
Aguirre, Ander; Soshnikov, Alexander
1
2022
Central limit theorem for \(C\beta E\) pair dependent statistics in mesoscopic regime. Zbl 07592528
Aguirre, Ander; Soshnikov, Alexander
1
2022
Gaussian approximation of the distribution of strongly repelling particles on the unit circle. Zbl 1469.60035
Soshnikov, A.; Xu, Yuanyuan
1
2021
A note on pair-dependent linear statistics with a slowly increasing variance. Zbl 1458.81043
Aguirre, A.; Soshnikov, A. B.
1
2020
Distribution of singular values of random band matrices; Marchenko-Pastur law and more. Zbl 1373.15054
Jana, Indrajit; Soshnikov, Alexander
2
2017
Fluctuations of linear eigenvalue statistics of random band matrices. Zbl 1348.15024
Jana, I.; Saha, K.; Soshnikov, A.
9
2016
Products of independent elliptic random matrices. Zbl 1360.60021
O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander; Vu, Van
23
2015
Partial linear eigenvalue statistics for Wigner and sample covariance random matrices. Zbl 1397.60016
O’Rourke, Sean; Soshnikov, Alexander
1
2015
On finite rank deformations of Wigner matrices. Zbl 1278.60014
Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander
28
2013
On finite rank deformations of Wigner matrices. II: Delocalized perturbations. Zbl 1296.60008
Renfrew, David; Soshnikov, Alexander
15
2013
Central limit theorem for linear statistics of eigenvalues of band random matrices. Zbl 1287.60012
Li, Lingyun; Soshnikov, Alexander
11
2013
On fluctuations of matrix entries of regular functions of Wigner matrices with non-identically distributed entries. Zbl 1280.15021
O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander
9
2013
Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles. Zbl 1283.60012
Bufetov, Alexander; Mkrtchyan, Sevak; Shcherbina, Maria; Soshnikov, Alexander
1
2013
Fluctuations of matrix entries of regular functions of Wigner matrices. Zbl 1246.60014
Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander
11
2012
Products of independent non-Hermitian random matrices. Zbl 1244.60011
O’Rourke, Sean; Soshnikov, Alexander B.
36
2011
On resolvent identities in Gaussian ensembles at the edge of the spectrum. Zbl 1176.82004
Soshnikov, Alexander
1
2009
On the lower bound of the spectral norm of symmetric random matrices with independent entries. Zbl 1189.15046
Péché, Sandrine; Soshnikov, Alexander
12
2008
Wigner random matrices with non-symmetrically distributed entries. Zbl 1139.82019
Péché, Sandrine; Soshnikov, Alexander
20
2007
Poisson statistics for the largest eigenvalues in random matrix ensembles. Zbl 1169.15302
Soshnikov, Alexander
19
2006
Statistics of extreme spacings in determinantal random point processes. Zbl 1115.60051
Soshnikov, Alexander
6
2005
On the largest singular values of random matrices with independent Cauchy entries. Zbl 1067.82022
Soshnikov, Alexander; Fyodorov, Yan V.
1
2005
Poisson statistics for the largest eigenvalues of Wigner random matrices with heavy tails. Zbl 1060.60013
Soshnikov, Alexander
35
2004
Janossy densities of coupled random matrices. Zbl 1071.82032
Soshnikov, Alexander
4
2004
Janossy densities. I: Determinantal ensembles. Zbl 1070.15020
Borodin, Alexei; Soshnikov, Alexander
11
2003
Janossy densities. II: Pfaffian ensembles. Zbl 1071.15027
Soshnikov, Alexander
7
2003
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. Zbl 1018.62042
Soshnikov, Alexander
69
2002
Gaussian limit for determinantal random point fields. Zbl 1033.60063
Soshnikov, Alexander
50
2002
Determinantal random point fields. Zbl 0991.60038
Soshnikov, Alexander
258
2000
The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities. Zbl 1021.60018
Soshnikov, Alexander
62
2000
Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields. Zbl 1041.82001
Soshnikov, Alexander B.
45
2000
Universality at the edge of the spectrum in Wigner random matrices. Zbl 1062.82502
Soshnikov, Alexander
119
1999
Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027
Sinai, Ya.; Soshnikov, A.
58
1998
A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge for random symmetric matrices. Zbl 0930.15025
Sinajĭ, Ya. G.; Soshnikov, A. B.
38
1998
Level spacings distribution for large random matrices: Gaussian fluctuations. Zbl 0944.60060
Soshnikov, Alexander
12
1998
Splitting of the low Landau levels into a set of positive Lebesgue measure under small periodic perturbations. Zbl 0888.60055
Dinaburg, E. I.; Sinai, Ya. G.; Soshnikov, A. B.
4
1997
Difference almost-periodic Schrödinger operators: Corollaries of localization. Zbl 0772.34060
Soshnikov, Alexander
3
1993
all top 5

Cited by 569 Authors

18 Soshnikov, Alexander B.
16 Katori, Makoto
15 Yau, Horng-Tzer
14 Bufetov, Aleksandr Igorevich
14 Erdős, László
13 O’Rourke, Sean D.
13 Qiu, Yanqi
12 Péché, Sandrine
12 Yin, Jun
11 Duits, Maurice
11 Knowles, Antti
11 Vũ Hà Văn
10 Baik, Jinho
10 Johansson, Kurt
10 Lee, Ji Oon
10 Osada, Hirofumi
10 Shirai, Tomoyuki
9 Borodin, Alexei
9 Charlier, Christophe
8 Heiny, Johannes
8 Pan, Guangming
8 Renfrew, David
7 Kargin, Vladislav
7 Mikosch, Thomas
7 Ol’shanskiĭ, Grigoriĭ Iosifovich
7 Qi, Yongcheng
7 Saha, Koushik
7 Schlein, Benjamin
7 Tao, Terence
6 Bao, Zhigang
6 Bourgade, Paul
6 Capitaine, Mireille
6 Forrester, Peter J.
6 Götze, Friedrich
6 Lambert, Gaultier
6 Petrov, Leonid
6 Tanemura, Hideki
5 Ameur, Yacin
5 Bai, Zhi-Dong
5 Benaych-Georges, Florent
5 Bordenave, Charles
5 Bothner, Thomas
5 Chafaï, Djalil
5 Claeys, Tom
5 Collins, Benoît
5 Dumitriu, Ioana
5 Guionnet, Alice
5 Hachem, Walid
5 Hardy, Adrien
5 Johnstone, Iain Murray
5 Kösters, Holger
5 Kuijlaars, Arno B. J.
5 Najim, Jamal
5 Pastur, Leonid Andreevich
5 Schnelli, Kevin
5 Yoo, Hyun Jae
5 Zhang, Lun
5 Zhou, Wang
4 Adhikari, Kartick
4 Akemann, Gernot
4 Ben Arous, Gérard
4 Blower, Gordon
4 Bose, Arup
4 Breuer, Jonathan
4 Cafasso, Mattia
4 Deift, Percy A.
4 Diaconis, Persi Warren
4 Féral, Delphine
4 Fulman, Jason E.
4 Huang, Jiaoyang
4 Jana, Indrajit
4 Jiang, Tiefeng
4 Lavancier, Frédéric
4 Lenells, Jonatan
4 Lubinsky, Doron S.
4 Lytvynov, Eugene W.
4 Makarov, Nikolai Georgievich
4 Maltsev, Anna V.
4 Martínez-Finkelshtein, Andrei
4 Rodgers, Brad
4 Schröder, Dominik
4 Silverstein, Jack W.
4 Sodin, Sasha
4 Strahov, Eugene
4 Tikhomirov, Alexander Nikolaevich
4 Tracy, Craig Arnold
4 Widom, Harold
3 Bardenet, Rémi
3 Bertola, Marco
3 Biscio, Christophe Ange Napoléon
3 Chang, Shuhua
3 Corwin, Ivan Z.
3 Davis, Richard A.
3 Decreusefond, Laurent
3 Ding, Xiucai
3 Donati-Martin, Catherine
3 Evans, Steven Neil
3 Feng, Renjie
3 Ferrari, Patrik Lino
3 Ghosh, Subhroshekhar
...and 469 more Authors
all top 5

Cited in 124 Serials

55 Communications in Mathematical Physics
51 Journal of Statistical Physics
51 The Annals of Probability
42 Probability Theory and Related Fields
29 Random Matrices: Theory and Applications
28 Journal of Mathematical Physics
22 Journal of Theoretical Probability
22 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
17 Stochastic Processes and their Applications
14 The Annals of Applied Probability
13 Advances in Mathematics
12 The Annals of Statistics
11 Journal of Functional Analysis
11 Bernoulli
9 Journal of Multivariate Analysis
9 Electronic Journal of Probability
8 Duke Mathematical Journal
7 Journal of Mathematical Analysis and Applications
7 Geometric and Functional Analysis. GAFA
7 Annales Henri Poincaré
6 Constructive Approximation
6 Linear Algebra and its Applications
6 Bulletin of the American Mathematical Society. New Series
6 Journal of Mathematical Sciences (New York)
5 Communications on Pure and Applied Mathematics
5 Reviews in Mathematical Physics
5 Transactions of the American Mathematical Society
5 Statistics & Probability Letters
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Advances in Applied Probability
4 Theory of Probability and its Applications
4 Inventiones Mathematicae
4 Journal of Approximation Theory
4 Journal of the Mathematical Society of Japan
4 Journal of Statistical Mechanics: Theory and Experiment
3 Israel Journal of Mathematics
3 Functional Analysis and its Applications
3 Journal of Applied Probability
3 Physica D
3 Electronic Journal of Statistics
2 Indian Journal of Pure & Applied Mathematics
2 Letters in Mathematical Physics
2 Metrika
2 Nonlinearity
2 Theoretical and Mathematical Physics
2 Acta Mathematica
2 Journal of Algebra
2 Journal of Combinatorial Theory. Series A
2 Journal of Statistical Planning and Inference
2 Ergodic Theory and Dynamical Systems
2 Journal of the American Mathematical Society
2 Applied and Computational Harmonic Analysis
2 Electronic Communications in Probability
2 Doklady Mathematics
2 Mathematical Physics, Analysis and Geometry
2 Extremes
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 International Journal of Number Theory
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 Journal of Physics A: Mathematical and Theoretical
2 The Annals of Applied Statistics
2 Probability Surveys
2 Science China. Mathematics
2 Probability and Mathematical Physics
1 Journal d’Analyse Mathématique
1 Nuclear Physics. B
1 Physica A
1 Physics Reports
1 Psychometrika
1 Scandinavian Journal of Statistics
1 Arkiv för Matematik
1 Mathematics of Computation
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Compositio Mathematica
1 Publications Mathématiques
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Osaka Journal of Mathematics
1 Combinatorica
1 Probability and Mathematical Statistics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Complexity
1 Statistical Science
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Scientific Computing
1 Forum Mathematicum
1 Sugaku Expositions
1 Applications of Mathematics
1 Communications in Statistics. Simulation and Computation
1 SIAM Journal on Mathematical Analysis
1 Computational Statistics and Data Analysis
1 Kyushu Journal of Mathematics
1 Random Operators and Stochastic Equations
...and 24 more Serials
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Cited in 37 Fields

525 Probability theory and stochastic processes (60-XX)
287 Linear and multilinear algebra; matrix theory (15-XX)
151 Statistical mechanics, structure of matter (82-XX)
84 Statistics (62-XX)
42 Combinatorics (05-XX)
34 Special functions (33-XX)
27 Partial differential equations (35-XX)
27 Quantum theory (81-XX)
25 Operator theory (47-XX)
23 Functions of a complex variable (30-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
21 Dynamical systems and ergodic theory (37-XX)
17 Functional analysis (46-XX)
16 Ordinary differential equations (34-XX)
14 Number theory (11-XX)
13 Numerical analysis (65-XX)
12 Approximations and expansions (41-XX)
7 Group theory and generalizations (20-XX)
7 Information and communication theory, circuits (94-XX)
6 Measure and integration (28-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Integral equations (45-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Potential theory (31-XX)
4 Integral transforms, operational calculus (44-XX)
3 Computer science (68-XX)
3 Operations research, mathematical programming (90-XX)
2 Algebraic geometry (14-XX)
2 Real functions (26-XX)
2 Difference and functional equations (39-XX)
2 Convex and discrete geometry (52-XX)
2 Relativity and gravitational theory (83-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Abstract harmonic analysis (43-XX)
1 Fluid mechanics (76-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year