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Soshnikov, Alexander B.

Author ID: soshnikov.alexander-b Recent zbMATH articles by "Soshnikov, Alexander B."
Published as: Soshnikov, Alexander; Soshnikov, A.; Soshnikov, A. B.; Soshnikov, Alexander B.

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 1,146 times in 739 Documents Cited by Year
Determinantal random point fields. Zbl 0991.60038
Soshnikov, Alexander
303
2000
Universality at the edge of the spectrum in Wigner random matrices. Zbl 1062.82502
Soshnikov, Alexander
136
1999
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. Zbl 1018.62042
Soshnikov, Alexander
75
2002
The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities. Zbl 1021.60018
Soshnikov, Alexander
72
2000
Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027
Sinai, Ya.; Soshnikov, A.
69
1998
Gaussian limit for determinantal random point fields. Zbl 1033.60063
Soshnikov, Alexander
61
2002
Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields. Zbl 1041.82001
Soshnikov, Alexander B.
55
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.
43
1998
Poisson statistics for the largest eigenvalues of Wigner random matrices with heavy tails. Zbl 1060.60013
Soshnikov, Alexander
43
2004
Products of independent non-Hermitian random matrices. Zbl 1244.60011
O’Rourke, Sean; Soshnikov, Alexander B.
39
2011
On finite rank deformations of Wigner matrices. Zbl 1278.60014
Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander
32
2013
Products of independent elliptic random matrices. Zbl 1360.60021
O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander; Vu, Van
26
2015
Poisson statistics for the largest eigenvalues in random matrix ensembles. Zbl 1169.15302
Soshnikov, Alexander
21
2006
Wigner random matrices with non-symmetrically distributed entries. Zbl 1139.82019
Péché, Sandrine; Soshnikov, Alexander
21
2007
On finite rank deformations of Wigner matrices. II: Delocalized perturbations. Zbl 1296.60008
Renfrew, David; Soshnikov, Alexander
17
2013
Central limit theorem for linear statistics of eigenvalues of band random matrices. Zbl 1287.60012
Li, Lingyun; Soshnikov, Alexander
14
2013
Level spacings distribution for large random matrices: Gaussian fluctuations. Zbl 0944.60060
Soshnikov, Alexander
13
1998
Fluctuations of linear eigenvalue statistics of random band matrices. Zbl 1348.15024
Jana, I.; Saha, K.; Soshnikov, A.
13
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
13
2013
Fluctuations of matrix entries of regular functions of Wigner matrices. Zbl 1246.60014
Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander
13
2012
Janossy densities. I: Determinantal ensembles. Zbl 1070.15020
Borodin, Alexei; Soshnikov, Alexander
12
2003
On the lower bound of the spectral norm of symmetric random matrices with independent entries. Zbl 1189.15046
Péché, Sandrine; Soshnikov, Alexander
12
2008
Janossy densities. II: Pfaffian ensembles. Zbl 1071.15027
Soshnikov, Alexander
10
2003
Statistics of extreme spacings in determinantal random point processes. Zbl 1115.60051
Soshnikov, Alexander
6
2005
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
Janossy densities of coupled random matrices. Zbl 1071.82032
Soshnikov, Alexander
4
2004
Difference almost-periodic Schrödinger operators: Corollaries of localization. Zbl 0772.34060
Soshnikov, Alexander
3
1993
A note on pair-dependent linear statistics with a slowly increasing variance. Zbl 1458.81043
Aguirre, A.; Soshnikov, A. B.
3
2020
Pair dependent linear statistics for C\( \beta\)E. Zbl 07762526
Aguirre, Ander; Soshnikov, Alexander; Sumpter, Joshua
2
2021
Distribution of singular values of random band matrices; Marchenko-Pastur law and more. Zbl 1373.15054
Jana, Indrajit; Soshnikov, Alexander
2
2017
Fluctuations of matrix entries of regular functions of sample covariance random matrices. Zbl 1314.15028
O’Rourke, S.; Renfrew, D.; Soshnikov, A.
2
2014
Partial linear eigenvalue statistics for Wigner and sample covariance random matrices. Zbl 1397.60016
O’Rourke, Sean; Soshnikov, Alexander
2
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
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
Pair dependent linear statistics for C\( \beta\)E. Zbl 07762526
Aguirre, Ander; Soshnikov, Alexander; Sumpter, Joshua
2
2021
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.
3
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.
13
2016
Products of independent elliptic random matrices. Zbl 1360.60021
O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander; Vu, Van
26
2015
Partial linear eigenvalue statistics for Wigner and sample covariance random matrices. Zbl 1397.60016
O’Rourke, Sean; Soshnikov, Alexander
2
2015
Fluctuations of matrix entries of regular functions of sample covariance random matrices. Zbl 1314.15028
O’Rourke, S.; Renfrew, D.; Soshnikov, A.
2
2014
On finite rank deformations of Wigner matrices. Zbl 1278.60014
Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander
32
2013
On finite rank deformations of Wigner matrices. II: Delocalized perturbations. Zbl 1296.60008
Renfrew, David; Soshnikov, Alexander
17
2013
Central limit theorem for linear statistics of eigenvalues of band random matrices. Zbl 1287.60012
Li, Lingyun; Soshnikov, Alexander
14
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
13
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
13
2012
Products of independent non-Hermitian random matrices. Zbl 1244.60011
O’Rourke, Sean; Soshnikov, Alexander B.
39
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
21
2007
Poisson statistics for the largest eigenvalues in random matrix ensembles. Zbl 1169.15302
Soshnikov, Alexander
21
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
43
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
12
2003
Janossy densities. II: Pfaffian ensembles. Zbl 1071.15027
Soshnikov, Alexander
10
2003
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. Zbl 1018.62042
Soshnikov, Alexander
75
2002
Gaussian limit for determinantal random point fields. Zbl 1033.60063
Soshnikov, Alexander
61
2002
Determinantal random point fields. Zbl 0991.60038
Soshnikov, Alexander
303
2000
The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities. Zbl 1021.60018
Soshnikov, Alexander
72
2000
Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields. Zbl 1041.82001
Soshnikov, Alexander B.
55
2000
Universality at the edge of the spectrum in Wigner random matrices. Zbl 1062.82502
Soshnikov, Alexander
136
1999
Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027
Sinai, Ya.; Soshnikov, A.
69
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.
43
1998
Level spacings distribution for large random matrices: Gaussian fluctuations. Zbl 0944.60060
Soshnikov, Alexander
13
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 664 Authors

19 Soshnikov, Alexander B.
18 Bufetov, Aleksandr Igorevich
18 Katori, Makoto
17 Erdős, László
16 Qiu, Yanqi
15 Yau, Horng-Tzer
14 O’Rourke, Sean D.
12 Duits, Maurice
12 Knowles, Antti
12 Osada, Hirofumi
12 Péché, Sandrine
12 Shirai, Tomoyuki
12 Yin, Jun
11 Baik, Jinho
11 Vũ Hà Văn
10 Borodin, Alexei
10 Charlier, Christophe
10 Johansson, Kurt
10 Lee, Ji Oon
10 Saha, Koushik
9 Forrester, Peter J.
9 Heiny, Johannes
8 Guionnet, Alice
8 Ol’shanskiĭ, Grigoriĭ Iosifovich
8 Pan, Guangming
8 Renfrew, David
7 Ameur, Yacin
7 Bao, Zhigang
7 Bose, Arup
7 Bourgade, Paul
7 Claeys, Tom
7 Kargin, Vladislav
7 Mikosch, Thomas
7 Petrov, Leonid
7 Qi, Yongcheng
7 Schlein, Benjamin
7 Schnelli, Kevin
7 Tao, Terence
7 Zhang, Lun
6 Bothner, Thomas
6 Cafasso, Mattia
6 Capitaine, Mireille
6 Dumitriu, Ioana
6 Götze, Friedrich
6 Lambert, Gaultier
6 Schröder, Dominik
6 Tanemura, Hideki
6 Xu, Yuanyuan
6 Yao, Jianfeng
5 Akemann, Gernot
5 Bai, Zhi-Dong
5 Benaych-Georges, Florent
5 Bordenave, Charles
5 Chafaï, Djalil
5 Collins, Benoît
5 Feng, Renjie
5 Hachem, Walid
5 Hardy, Adrien
5 Huang, Jiaoyang
5 Johnstone, Iain Murray
5 Kösters, Holger
5 Kuijlaars, Arno B. J.
5 Lavancier, Frédéric
5 Lubinsky, Doron S.
5 Lytvynov, Eugene W.
5 Maltsev, Anna V.
5 Maurya, Shambhu Nath
5 Najim, Jamal
5 Najnudel, Joseph
5 Pastur, Leonid Andreevich
5 Wei, Dongyi
5 Yoo, Hyun Jae
5 Zhou, Wang
4 Adhikari, Kartick
4 Bardenet, Rémi
4 Ben Arous, Gérard
4 Bertola, Marco
4 Blower, Gordon
4 Breuer, Jonathan
4 Cipolloni, Giorgio
4 Decreusefond, Laurent
4 Deift, Percy A.
4 Diaconis, Persi Warren
4 Féral, Delphine
4 Fulman, Jason E.
4 Harnad, John
4 Jana, Indrajit
4 Jiang, Tiefeng
4 Kang, Nam-Gyu
4 Lenells, Jonatan
4 Makarov, Nikolai Georgievich
4 Martínez-Finkelshtein, Andrei
4 Nikeghbali, Ashkan
4 Paquette, Elliot
4 Rodgers, Brad
4 Schehr, Grégory
4 Silverstein, Jack W.
4 Sodin, Sasha
4 Strahov, Eugene
4 Tarricone, Sofia
...and 564 more Authors
all top 5

Cited in 144 Serials

59 Communications in Mathematical Physics
53 The Annals of Probability
52 Journal of Statistical Physics
45 Probability Theory and Related Fields
38 Random Matrices: Theory and Applications
34 Journal of Mathematical Physics
25 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
22 Journal of Theoretical Probability
19 The Annals of Applied Probability
17 Stochastic Processes and their Applications
15 Advances in Mathematics
14 Bernoulli
13 The Annals of Statistics
13 Journal of Physics A: Mathematical and Theoretical
12 Journal of Functional Analysis
11 Electronic Journal of Probability
9 Journal of Multivariate Analysis
8 Duke Mathematical Journal
8 Annales Henri Poincaré
8 Journal of Statistical Mechanics: Theory and Experiment
7 Communications on Pure and Applied Mathematics
7 Journal of Mathematical Analysis and Applications
7 Geometric and Functional Analysis. GAFA
6 Statistics & Probability Letters
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 Reviews in Mathematical Physics
5 Theory of Probability and its Applications
5 Transactions of the American Mathematical Society
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Probability and Mathematical Physics
4 Advances in Applied Probability
4 Nonlinearity
4 Inventiones Mathematicae
4 Journal of Approximation Theory
4 Journal of the Mathematical Society of Japan
4 Mathematical Physics, Analysis and Geometry
4 Probability Surveys
3 Israel Journal of Mathematics
3 Functional Analysis and its Applications
3 Journal of Applied Probability
3 Physica D
3 Extremes
3 Electronic Journal of Statistics
3 Science China. Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Letters in Mathematical Physics
2 Metrika
2 Scandinavian Journal of Statistics
2 Theoretical and Mathematical Physics
2 Acta Mathematica
2 Compositio Mathematica
2 Journal of Algebra
2 Journal of Combinatorial Theory. Series A
2 Journal of Statistical Planning and Inference
2 Monatshefte für Mathematik
2 Ergodic Theory and Dynamical Systems
2 Statistical Science
2 Journal of the American Mathematical Society
2 Sugaku Expositions
2 Applied and Computational Harmonic Analysis
2 Selecta Mathematica. New Series
2 Electronic Communications in Probability
2 Doklady Mathematics
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Journal of High Energy Physics
2 Methodology and Computing in Applied Probability
2 International Journal of Number Theory
2 The Annals of Applied Statistics
1 International Journal of Modern Physics A
1 Journal d’Analyse Mathématique
1 Nuclear Physics. B
1 Physica A
1 Physics Reports
1 Psychometrika
1 Studia Mathematica
1 Arkiv för Matematik
1 Mathematics of Computation
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Publications Mathématiques
1 Journal of the American Statistical Association
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Studies in Applied Mathematics
1 Combinatorica
1 Probability and Mathematical Statistics
1 Acta Mathematicae Applicatae Sinica. English Series
...and 44 more Serials
all top 5

Cited in 38 Fields

617 Probability theory and stochastic processes (60-XX)
321 Linear and multilinear algebra; matrix theory (15-XX)
178 Statistical mechanics, structure of matter (82-XX)
98 Statistics (62-XX)
54 Combinatorics (05-XX)
43 Quantum theory (81-XX)
39 Special functions (33-XX)
33 Dynamical systems and ergodic theory (37-XX)
32 Partial differential equations (35-XX)
31 Functions of a complex variable (30-XX)
27 Operator theory (47-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
22 Functional analysis (46-XX)
21 Ordinary differential equations (34-XX)
16 Number theory (11-XX)
15 Numerical analysis (65-XX)
13 Approximations and expansions (41-XX)
8 Information and communication theory, circuits (94-XX)
7 Group theory and generalizations (20-XX)
7 Integral equations (45-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Measure and integration (28-XX)
6 Several complex variables and analytic spaces (32-XX)
5 Potential theory (31-XX)
5 Integral transforms, operational calculus (44-XX)
4 Computer science (68-XX)
3 Algebraic geometry (14-XX)
3 Topological groups, Lie groups (22-XX)
3 Fluid mechanics (76-XX)
3 Relativity and gravitational theory (83-XX)
3 Operations research, mathematical programming (90-XX)
2 Real functions (26-XX)
2 Difference and functional equations (39-XX)
2 Convex and discrete geometry (52-XX)
2 Biology and other natural sciences (92-XX)
1 Nonassociative rings and algebras (17-XX)
1 Abstract harmonic analysis (43-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year