Edit Profile (opens in new tab) Soshnikov, Alexander B. Compute Distance To: Compute Author ID: soshnikov.alexander-b Published as: Soshnikov, Alexander; Soshnikov, A.; Soshnikov, A. B.; Soshnikov, Alexander B. more...less Documents Indexed: 39 Publications since 1993 Co-Authors: 19 Co-Authors with 24 Joint Publications 695 Co-Co-Authors all top 5 Co-Authors 15 single-authored 7 Renfrew, David 6 O’Rourke, Sean D. 3 Sinaĭ, Yakov Grigor’evich 2 Aguirre, Ander 2 Jana, Indrajit 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 Li, Lingyun 1 Mkrtchyan, Sevak 1 Saha, Koushik 1 Shcherbina, Mariya 1 Sudakov, Benny 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 2 The Annals of Probability 2 Journal of Theoretical Probability 2 Random Matrices: Theory and Applications 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 31 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 35 Publications have been cited 983 times in 627 Documents Cited by ▼ Year ▼ Determinantal random point fields. Zbl 0991.60038Soshnikov, Alexander 258 2000 Universality at the edge of the spectrum in Wigner random matrices. Zbl 1062.82502Soshnikov, Alexander 119 1999 A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. Zbl 1018.62042Soshnikov, Alexander 69 2002 The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities. Zbl 1021.60018Soshnikov, Alexander 62 2000 Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027Sinai, Ya.; Soshnikov, A. 58 1998 Gaussian limit for determinantal random point fields. Zbl 1033.60063Soshnikov, Alexander 50 2002 Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields. Zbl 1041.82001Soshnikov, Alexander B. 45 2000 A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge for random symmetric matrices. Zbl 0930.15025Sinajĭ, Ya. G.; Soshnikov, A. B. 38 1998 Products of independent non-Hermitian random matrices. Zbl 1244.60011O’Rourke, Sean; Soshnikov, Alexander B. 36 2011 Poisson statistics for the largest eigenvalues of Wigner random matrices with heavy tails. Zbl 1060.60013Soshnikov, Alexander 35 2004 On finite rank deformations of Wigner matrices. Zbl 1278.60014Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander 28 2013 Products of independent elliptic random matrices. Zbl 1360.60021O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander; Vu, Van 23 2015 Wigner random matrices with non-symmetrically distributed entries. Zbl 1139.82019Péché, Sandrine; Soshnikov, Alexander 20 2007 Poisson statistics for the largest eigenvalues in random matrix ensembles. Zbl 1169.15302Soshnikov, Alexander 19 2006 On finite rank deformations of Wigner matrices. II: Delocalized perturbations. Zbl 1296.60008Renfrew, David; Soshnikov, Alexander 15 2013 On the lower bound of the spectral norm of symmetric random matrices with independent entries. Zbl 1189.15046Péché, Sandrine; Soshnikov, Alexander 12 2008 Level spacings distribution for large random matrices: Gaussian fluctuations. Zbl 0944.60060Soshnikov, Alexander 12 1998 Janossy densities. I: Determinantal ensembles. Zbl 1070.15020Borodin, Alexei; Soshnikov, Alexander 11 2003 Central limit theorem for linear statistics of eigenvalues of band random matrices. Zbl 1287.60012Li, Lingyun; Soshnikov, Alexander 11 2013 Fluctuations of matrix entries of regular functions of Wigner matrices. Zbl 1246.60014Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander 11 2012 Fluctuations of linear eigenvalue statistics of random band matrices. Zbl 1348.15024Jana, I.; Saha, K.; Soshnikov, A. 9 2016 On fluctuations of matrix entries of regular functions of Wigner matrices with non-identically distributed entries. Zbl 1280.15021O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander 9 2013 Janossy densities. II: Pfaffian ensembles. Zbl 1071.15027Soshnikov, Alexander 7 2003 Statistics of extreme spacings in determinantal random point processes. Zbl 1115.60051Soshnikov, Alexander 6 2005 Janossy densities of coupled random matrices. Zbl 1071.82032Soshnikov, Alexander 4 2004 Splitting of the low Landau levels into a set of positive Lebesgue measure under small periodic perturbations. Zbl 0888.60055Dinaburg, E. I.; Sinai, Ya. G.; Soshnikov, A. B. 4 1997 Difference almost-periodic Schrödinger operators: Corollaries of localization. Zbl 0772.34060Soshnikov, Alexander 3 1993 Distribution of singular values of random band matrices; Marchenko-Pastur law and more. Zbl 1373.15054Jana, Indrajit; Soshnikov, Alexander 2 2017 Partial linear eigenvalue statistics for Wigner and sample covariance random matrices. Zbl 1397.60016O’Rourke, Sean; Soshnikov, Alexander 1 2015 On the largest singular values of random matrices with independent Cauchy entries. Zbl 1067.82022Soshnikov, Alexander; Fyodorov, Yan V. 1 2005 Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles. Zbl 1283.60012Bufetov, Alexander; Mkrtchyan, Sevak; Shcherbina, Maria; Soshnikov, Alexander 1 2013 On resolvent identities in Gaussian ensembles at the edge of the spectrum. Zbl 1176.82004Soshnikov, Alexander 1 2009 Gaussian approximation of the distribution of strongly repelling particles on the unit circle. Zbl 1469.60035Soshnikov, A.; Xu, Yuanyuan 1 2021 A note on pair-dependent linear statistics with a slowly increasing variance. Zbl 1458.81043Aguirre, A.; Soshnikov, A. B. 1 2020 Central limit theorem for \(C\beta E\) pair dependent statistics in mesoscopic regime. Zbl 07592528Aguirre, Ander; Soshnikov, Alexander 1 2022 Central limit theorem for \(C\beta E\) pair dependent statistics in mesoscopic regime. Zbl 07592528Aguirre, Ander; Soshnikov, Alexander 1 2022 Gaussian approximation of the distribution of strongly repelling particles on the unit circle. Zbl 1469.60035Soshnikov, A.; Xu, Yuanyuan 1 2021 A note on pair-dependent linear statistics with a slowly increasing variance. Zbl 1458.81043Aguirre, A.; Soshnikov, A. B. 1 2020 Distribution of singular values of random band matrices; Marchenko-Pastur law and more. Zbl 1373.15054Jana, Indrajit; Soshnikov, Alexander 2 2017 Fluctuations of linear eigenvalue statistics of random band matrices. Zbl 1348.15024Jana, I.; Saha, K.; Soshnikov, A. 9 2016 Products of independent elliptic random matrices. Zbl 1360.60021O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander; Vu, Van 23 2015 Partial linear eigenvalue statistics for Wigner and sample covariance random matrices. Zbl 1397.60016O’Rourke, Sean; Soshnikov, Alexander 1 2015 On finite rank deformations of Wigner matrices. Zbl 1278.60014Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander 28 2013 On finite rank deformations of Wigner matrices. II: Delocalized perturbations. Zbl 1296.60008Renfrew, David; Soshnikov, Alexander 15 2013 Central limit theorem for linear statistics of eigenvalues of band random matrices. Zbl 1287.60012Li, Lingyun; Soshnikov, Alexander 11 2013 On fluctuations of matrix entries of regular functions of Wigner matrices with non-identically distributed entries. Zbl 1280.15021O’Rourke, Sean; Renfrew, David; Soshnikov, Alexander 9 2013 Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles. Zbl 1283.60012Bufetov, Alexander; Mkrtchyan, Sevak; Shcherbina, Maria; Soshnikov, Alexander 1 2013 Fluctuations of matrix entries of regular functions of Wigner matrices. Zbl 1246.60014Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander 11 2012 Products of independent non-Hermitian random matrices. Zbl 1244.60011O’Rourke, Sean; Soshnikov, Alexander B. 36 2011 On resolvent identities in Gaussian ensembles at the edge of the spectrum. Zbl 1176.82004Soshnikov, Alexander 1 2009 On the lower bound of the spectral norm of symmetric random matrices with independent entries. Zbl 1189.15046Péché, Sandrine; Soshnikov, Alexander 12 2008 Wigner random matrices with non-symmetrically distributed entries. Zbl 1139.82019Péché, Sandrine; Soshnikov, Alexander 20 2007 Poisson statistics for the largest eigenvalues in random matrix ensembles. Zbl 1169.15302Soshnikov, Alexander 19 2006 Statistics of extreme spacings in determinantal random point processes. Zbl 1115.60051Soshnikov, Alexander 6 2005 On the largest singular values of random matrices with independent Cauchy entries. Zbl 1067.82022Soshnikov, Alexander; Fyodorov, Yan V. 1 2005 Poisson statistics for the largest eigenvalues of Wigner random matrices with heavy tails. Zbl 1060.60013Soshnikov, Alexander 35 2004 Janossy densities of coupled random matrices. Zbl 1071.82032Soshnikov, Alexander 4 2004 Janossy densities. I: Determinantal ensembles. Zbl 1070.15020Borodin, Alexei; Soshnikov, Alexander 11 2003 Janossy densities. II: Pfaffian ensembles. Zbl 1071.15027Soshnikov, Alexander 7 2003 A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. Zbl 1018.62042Soshnikov, Alexander 69 2002 Gaussian limit for determinantal random point fields. Zbl 1033.60063Soshnikov, Alexander 50 2002 Determinantal random point fields. Zbl 0991.60038Soshnikov, Alexander 258 2000 The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities. Zbl 1021.60018Soshnikov, Alexander 62 2000 Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields. Zbl 1041.82001Soshnikov, Alexander B. 45 2000 Universality at the edge of the spectrum in Wigner random matrices. Zbl 1062.82502Soshnikov, Alexander 119 1999 Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027Sinai, Ya.; Soshnikov, A. 58 1998 A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge for random symmetric matrices. Zbl 0930.15025Sinajĭ, Ya. G.; Soshnikov, A. B. 38 1998 Level spacings distribution for large random matrices: Gaussian fluctuations. Zbl 0944.60060Soshnikov, Alexander 12 1998 Splitting of the low Landau levels into a set of positive Lebesgue measure under small periodic perturbations. Zbl 0888.60055Dinaburg, E. I.; Sinai, Ya. G.; Soshnikov, A. B. 4 1997 Difference almost-periodic Schrödinger operators: Corollaries of localization. Zbl 0772.34060Soshnikov, Alexander 3 1993 all cited Publications top 5 cited Publications 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 all top 5 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