Edit Profile (opens in new tab) Soshnikov, Alexander B. Co-Author Distance Author ID: soshnikov.alexander-b Published as: Soshnikov, Alexander; Soshnikov, A.; Soshnikov, A. B.; Soshnikov, Alexander B. more...less Documents Indexed: 42 Publications since 1993, including 2 Additional arXiv Preprints Co-Authors: 21 Co-Authors with 26 Joint Publications 785 Co-Co-Authors all top 5 Co-Authors 16 single-authored 7 Renfrew, David 6 O’Rourke, Sean D. 3 Aguirre, Ander 3 Sinaĭ, Yakov Grigor’evich 2 Jana, Indrajit 2 Li, Lingyun 2 Péché, Sandrine 2 Pizzo, Alessandro 1 Borodin, Alexei 1 Bufetov, Aleksandr Igorevich 1 Dinaburg, Efim I. 1 Dueck, Pierre 1 Fyodorov, Yan V. 1 Mkrtchyan, Sevak 1 Reed, Matthew 1 Saha, Koushik 1 Shcherbina, Mariya 1 Sudakov, Benny 1 Sumpter, Joshua 1 Vũ Hà Văn 1 Xu, Yuanyuan all top 5 Serials 10 Journal of Statistical Physics 5 Communications in Mathematical Physics 3 Theory of Probability and its Applications 3 Electronic Communications in Probability 3 Random Matrices: Theory and Applications 2 The Annals of Probability 2 Journal of Theoretical Probability 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Functional Analysis and its Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Electronic Journal of Probability 1 Annals of Mathematics. Second Series 1 Moscow Mathematical Journal all top 5 Fields 32 Probability theory and stochastic processes (60-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 9 Statistical mechanics, structure of matter (82-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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