Edit Profile (opens in new tab) Krasovsky, Igor V. Co-Author Distance Author ID: krasovsky.igor-v Published as: Krasovsky, Igor; Krasovsky, I. V.; Krasovsky, I.; Krasovsky, Igor V. more...less Documents Indexed: 37 Publications since 1995, including 6 Additional arXiv Preprints Co-Authors: 13 Co-Authors with 25 Joint Publications 253 Co-Co-Authors all top 5 Co-Authors 12 single-authored 13 Its, Alexander Rudolfovich 11 Deift, Percy A. 4 Claeys, Tom 3 Bothner, Thomas 3 Jitomirskaya, Svetlana Yakovlevna 2 Fahs, Benjamin 2 Peresada, V. I. 1 Konstantinov, Lyuben 1 Korotyaev, Evgeny L. 1 Maroudas, Theo-Harris 1 Minakov, Oleksandr 1 Vasilevska, Julia 1 Zhou, Xin all top 5 Serials 5 Communications in Mathematical Physics 4 Duke Mathematical Journal 3 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Journal of Computational and Applied Mathematics 2 IMRN. International Mathematics Research Notices 2 Journal of Physics A: Mathematical and General 1 Letters in Mathematical Physics 1 Advances in Mathematics 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Journal of Spectral Theory all top 5 Fields 19 Linear and multilinear algebra; matrix theory (15-XX) 17 Operator theory (47-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Special functions (33-XX) 8 Probability theory and stochastic processes (60-XX) 6 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 636 times in 332 Documents Cited by ▼ Year ▼ Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006 Deift, Percy; Its, Alexander; Krasovsky, Igor 85 2011 Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model: some history and some recent results. Zbl 1292.47016 Deift, Percy; Its, Alexander; Krasovsky, Igor 77 2013 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005 Deift, P.; Its, A.; Krasovsky, I. 50 2008 Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027 Its, A.; Krasovsky, I. 43 2008 Gap probability in the spectrum of random matrices and asymptotics of polynomials orthogonal on an arc of the unit circle. Zbl 1077.60079 Krasovsky, I. V. 42 2004 Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant. Zbl 1173.15012 Krasovsky, I. V. 39 2007 Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191 Claeys, Tom; Krasovsky, Igor; Its, Alexander 36 2010 The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019 Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. 34 2007 Toeplitz determinants with merging singularities. Zbl 1333.15018 Claeys, T.; Krasovsky, I. 29 2015 On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218 Deift, Percy; Its, Alexander; Krasovsky, Igor 26 2014 Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039 Claeys, T.; Its, A.; Krasovsky, I. 25 2011 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027 Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 23 2015 Aspects of Toeplitz determinants. Zbl 1220.47038 Krasovsky, Igor 22 2011 Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013 Deift, Percy; Krasovsky, Igor; Vasilevska, Julia 21 2011 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029 Deift, P.; Its, A.; Krasovsky, I. 18 2012 Continuity of the measure of the spectrum for discrete quasiperiodic operators. Zbl 1020.47002 Jitomirskaya, S. Ya.; Krasovsky, I. V. 15 2002 Spectral estimates for periodic Jacobi matrices. Zbl 1022.47021 Korotyaev, Evgeni; Krasovsky, Igor V. 12 2003 Large gap asymptotics for random matrices. Zbl 1184.15025 Krasovsky, Igor 8 2009 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. Zbl 1382.82014 Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 8 2017 Asymptotic distribution of zeros of polynomials satisfying difference equations. Zbl 1019.33008 Krasovsky, I. V. 7 2003 Central spectral gaps of the almost Mathieu operator. Zbl 06702032 Krasovsky, I. 5 2017 The sine process under the influence of a varying potential. Zbl 1404.60010 Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 5 2018 Splitting of a gap in the bulk of the spectrum of random matrices. Zbl 1448.60021 Fahs, Benjamin; Krasovsky, Igor 2 2019 A new method in the many-body problem. Zbl 0858.47043 Krasovsky, I. V.; Peresada, V. I. 1 1995 On the discriminant of Harper’s equation. Zbl 0969.47026 Krasovsky, I. V. 1 2000 On the spectrum of critical almost Mathieu operators in the rational case. Zbl 1501.47051 Jitomirskaya, Svetlana; Konstantinov, Lyuben; Krasovsky, Igor 1 2022 Sine-kernel determinant on two large intervals. Zbl 1528.60011 Fahs, Benjamin; Krasovsky, Igor 1 2024 Sine-kernel determinant on two large intervals. Zbl 1528.60011 Fahs, Benjamin; Krasovsky, Igor 1 2024 On the spectrum of critical almost Mathieu operators in the rational case. Zbl 1501.47051 Jitomirskaya, Svetlana; Konstantinov, Lyuben; Krasovsky, Igor 1 2022 Splitting of a gap in the bulk of the spectrum of random matrices. Zbl 1448.60021 Fahs, Benjamin; Krasovsky, Igor 2 2019 The sine process under the influence of a varying potential. Zbl 1404.60010 Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 5 2018 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. Zbl 1382.82014 Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 8 2017 Central spectral gaps of the almost Mathieu operator. Zbl 06702032 Krasovsky, I. 5 2017 Toeplitz determinants with merging singularities. Zbl 1333.15018 Claeys, T.; Krasovsky, I. 29 2015 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027 Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 23 2015 On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218 Deift, Percy; Its, Alexander; Krasovsky, Igor 26 2014 Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model: some history and some recent results. Zbl 1292.47016 Deift, Percy; Its, Alexander; Krasovsky, Igor 77 2013 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029 Deift, P.; Its, A.; Krasovsky, I. 18 2012 Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006 Deift, Percy; Its, Alexander; Krasovsky, Igor 85 2011 Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039 Claeys, T.; Its, A.; Krasovsky, I. 25 2011 Aspects of Toeplitz determinants. Zbl 1220.47038 Krasovsky, Igor 22 2011 Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013 Deift, Percy; Krasovsky, Igor; Vasilevska, Julia 21 2011 Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191 Claeys, Tom; Krasovsky, Igor; Its, Alexander 36 2010 Large gap asymptotics for random matrices. Zbl 1184.15025 Krasovsky, Igor 8 2009 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005 Deift, P.; Its, A.; Krasovsky, I. 50 2008 Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027 Its, A.; Krasovsky, I. 43 2008 Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant. Zbl 1173.15012 Krasovsky, I. V. 39 2007 The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019 Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. 34 2007 Gap probability in the spectrum of random matrices and asymptotics of polynomials orthogonal on an arc of the unit circle. Zbl 1077.60079 Krasovsky, I. V. 42 2004 Spectral estimates for periodic Jacobi matrices. Zbl 1022.47021 Korotyaev, Evgeni; Krasovsky, Igor V. 12 2003 Asymptotic distribution of zeros of polynomials satisfying difference equations. Zbl 1019.33008 Krasovsky, I. V. 7 2003 Continuity of the measure of the spectrum for discrete quasiperiodic operators. Zbl 1020.47002 Jitomirskaya, S. Ya.; Krasovsky, I. V. 15 2002 On the discriminant of Harper’s equation. Zbl 0969.47026 Krasovsky, I. V. 1 2000 A new method in the many-body problem. Zbl 0858.47043 Krasovsky, I. V.; Peresada, V. I. 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 384 Authors 21 Its, Alexander Rudolfovich 17 Claeys, Tom 16 Charlier, Christophe 15 Krasovsky, Igor V. 14 Xu, Shuaixia 12 Böttcher, Albrecht 12 Chen, Yang 9 Bothner, Thomas 9 Dai, Dan 9 Deift, Percy A. 9 Grudsky, Sergei Mikhailovich 9 Keating, Jonathan Peter 9 Lambert, Gaultier 8 Forrester, Peter J. 7 Korotyaev, Evgeny L. 7 Lenells, Jonatan 7 Lisovyy, Oleg 7 Zhang, Lun 7 Zhao, Yuqiu 6 Ehrhardt, Torsten 6 Jitomirskaya, Svetlana Yakovlevna 6 Tierz, Miguel 6 Webb, Christian 5 Bailey, Emma C. 5 Basor, Estelle L. 5 Bogoya, Johan M. 5 Cafasso, Mattia 5 Fahs, Benjamin 5 Gharakhloo, Roozbeh 5 Kutsenko, Anton A. 5 Maksimenko, Egor A. 5 Min, Chao 5 Sobolev, Alexander V. 4 Assiotis, Theodoros 4 Bourgade, Paul 4 Deaño, Alfredo 4 Lyu, Shulin 4 Zahabi, Ali 3 Batalshchikov, A. A. 3 Betea, Dan 3 Darses, Sébastien 3 Denisov, Sergey A. 3 Duits, Maurice 3 Fyodorov, Yan V. 3 Grava, Tamara 3 Iorgov, Nikolai 3 Jones, Nick G. 3 Kimura, Taro 3 Martínez-Finkelshtein, Andrei 3 Mezzadri, Francesco 3 Saksman, Eero 3 Stukopin, Vladimir Alekseevich 3 Virtanen, Jani A. 3 Witte, Nicholas S. 3 Wong, Mo Dick 3 Zhu, Mengkun 2 Ameur, Yacin 2 Ares, Filiberto 2 Avila, Artur 2 Baik, Jinho 2 Bertola, Marco 2 Bettelheim, Eldad 2 Blackstone, Elliot J. 2 Bouttier, Jérémie 2 Buckingham, Robert J. 2 Chen, Min 2 Corwin, Ivan Z. 2 Domrin, Andrei Victorovich 2 Fernandes, Rosário 2 Finkel, Federico 2 FitzGerald, Will 2 Foulquié Moreno, Ana Pilar 2 Garcia García, David 2 Ghosal, Promit 2 Golinskii, Leonid Borisovich 2 González-López, Artemio 2 Gorin, Vadim 2 Hillion, Erwan 2 Kanzieper, Eugene 2 Kapaev, Andrei A. 2 Korchemsky, Gregory P. 2 Korepin, Vladimir E. 2 Kozlowski, Karol Kajetan 2 Kuijlaars, Arno B. J. 2 Li, Shihao 2 Liechty, Karl 2 Liu, Qinghui 2 Lubinsky, Doron S. 2 Marchal, Olivier 2 Marx, Christoph A. 2 Mauersberger, Julian 2 Minakov, Alexander 2 Mintchev, Mihail 2 Mody, Krishnan 2 Moll, Alexander C. 2 Olver, Sheehan Shakiban 2 Pontello, Diego 2 Prokhorov, Andrei 2 Qiu, Weiyuan 2 Qu, Yanhui ...and 284 more Authors all top 5 Cited in 97 Serials 39 Communications in Mathematical Physics 16 Journal of Physics A: Mathematical and Theoretical 14 Journal of Approximation Theory 13 Journal of Mathematical Physics 13 Journal of Statistical Physics 11 Advances in Mathematics 11 Constructive Approximation 11 Journal of High Energy Physics 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Journal of Statistical Mechanics: Theory and Experiment 8 Communications on Pure and Applied Mathematics 8 Duke Mathematical Journal 8 Random Matrices: Theory and Applications 7 Linear Algebra and its Applications 6 Nonlinearity 6 The Annals of Probability 6 Probability Theory and Related Fields 5 Journal of Mathematical Analysis and Applications 5 Letters in Mathematical Physics 5 Electronic Journal of Probability 5 Mathematical Physics, Analysis and Geometry 4 Journal of Functional Analysis 4 Proceedings of the American Mathematical Society 4 Ergodic Theory and Dynamical Systems 3 Nuclear Physics. B 3 Journal of Computational and Applied Mathematics 3 Studies in Applied Mathematics 3 Physica D 3 The Annals of Applied Probability 3 SIAM Journal on Mathematical Analysis 3 Annals of Mathematics. Second Series 3 Annales Henri Poincaré 2 Linear and Multilinear Algebra 2 Journal of Differential Equations 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Russian Journal of Mathematical Physics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Sbornik: Mathematics 2 Séminaire Lotharingien de Combinatoire 2 Journal of Spectral Theory 2 Analysis and Mathematical Physics 1 International Journal of Modern Physics B 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A 1 Physics Reports 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Acta Arithmetica 1 Acta Scientiarum Mathematicarum 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of Number Theory 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Journal of Scientific Computing 1 IMRN. International Mathematics Research Notices 1 Annals of Physics 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 Potential Analysis 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Selecta Mathematica. New Series 1 Journal of Difference Equations and Applications 1 Documenta Mathematica 1 Chaos 1 Acta Mathematica Sinica. English Series 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Analysis & PDE 1 Japanese Journal of Mathematics. 3rd Series 1 Statistics and Computing 1 Journal of Classical Analysis 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 39 Fields 135 Probability theory and stochastic processes (60-XX) 134 Linear and multilinear algebra; matrix theory (15-XX) 73 Statistical mechanics, structure of matter (82-XX) 72 Operator theory (47-XX) 59 Special functions (33-XX) 58 Ordinary differential equations (34-XX) 50 Quantum theory (81-XX) 45 Partial differential equations (35-XX) 31 Dynamical systems and ergodic theory (37-XX) 28 Approximations and expansions (41-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 26 Functions of a complex variable (30-XX) 19 Numerical analysis (65-XX) 12 Combinatorics (05-XX) 12 Number theory (11-XX) 11 Integral equations (45-XX) 9 Statistics (62-XX) 8 Difference and functional equations (39-XX) 7 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Potential theory (31-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year