Igor Krasovsky

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All published works

Action	Title	Year	Authors
+	Airy-kernel determinant on two large intervals	2024	Igor Krasovsky Theo-Harris Maroudas
+ PDF Chat	Sine‐kernel determinant on two large intervals	2023	Benjamin Fahs Igor Krasovsky
+ PDF Chat	Weak and Strong Confinement in the Freud Random Matrix Ensemble and Gap Probabilities	2023	Tom Claeys Igor Krasovsky Alexander Minakov
+ PDF Chat	On the spectrum of critical almost Mathieu operators in the rational case	2022	Svetlana Jitomirskaya Lyuben Konstantinov Igor Krasovsky
+	Weak and strong confinement in the Freud random matrix ensemble and gap probabilities	2022	Tom Claeys Igor Krasovsky Alexander Minakov
+	Probability of Two Large Gaps in the Bulk and at the Edge of the Spectrum of Random Matrices	2022	Benjamin Fahs Igor Krasovsky Theo-Harris Maroudas
+	Airy-kernel determinant on two large intervals	2021	Igor Krasovsky Theo-Harris Maroudas
+	On the spectrum of critical almost Mathieu operators in the rational case	2020	Svetlana Jitomirskaya Lyuben Konstantinov Igor Krasovsky
+	Sine-kernel determinant on two large intervals	2020	Benjamin Fahs Igor Krasovsky
+ PDF Chat	Splitting of a gap in the bulk of the spectrum of random matrices	2019	Benjamin Fahs Igor Krasovsky
+	Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum	2019	Svetlana Jitomirskaya Igor Krasovsky
+ PDF Chat	The sine process under the influence of a varying potential	2018	Thomas Bothner Percy Deift Alexander Its Igor Krasovsky
+	The sine process under the influence of a varying potential	2018	Thomas Bothner Percy Deift Alexander Its Igor Krasovsky
+ PDF Chat	On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential II	2017	Thomas Bothner Percy Deift Alexander Its Igor Krasovsky
+ PDF Chat	Central Spectral Gaps of the Almost Mathieu Operator	2016	Igor Krasovsky
+	Central gaps in the spectrum of the almost Mathieu operator	2016	Igor Krasovsky
+ PDF Chat	Toeplitz determinants with merging singularities	2015	Tom Claeys Igor Krasovsky
+ PDF Chat	On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I	2015	Thomas Bothner Percy Deift Alexander Its Igor Krasovsky
+	On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II	2015	Thomas Bothner Percy Deift Alexander Its Igor Krasovsky
+	On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential I. The oscillatory region	2014	Thomas Bothner Percy Deift Alexander Its Igor Krasovsky
+ PDF Chat	Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results	2013	Percy Deift Alexander Its Igor Krasovsky
+	Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model. Some history and some recent results	2012	Percy Deift Alexander Its Igor Krasovsky
+	On the asymptotics of a Toeplitz determinant with singularities	2012	Percy Deift Alexander Its Igor Krasovsky
+ PDF Chat	Emergence of a singularity for Toeplitz determinants and Painlevé V	2011	Tom Claeys A. R. Its Igor Krasovsky
+	Eigenvalues of Toeplitz matrices in the bulk of the spectrum	2011	Percy Deift Alexander Its Igor Krasovsky
+	Eigenvalues of Toeplitz matrices	2011	Percy Deift A. R. Its Igor Krasovsky
+ PDF Chat	Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities	2011	Percy Deift Alexander Its Igor Krasovsky
+ PDF Chat	Aspects of Toeplitz Determinants	2011	Igor Krasovsky
+	Eigenvalues of Toeplitz matrices in the bulk of the spectrum	2011	Percy Deift A. R. Its Igor Krasovsky
+	Asymptotics for a Determinant with a Confluent Hypergeometric Kernel	2010	Percy Deift Igor Krasovsky J. Vasilevska
+	Emergence of a singularity for Toeplitz determinants and	2010	Tom Claeys Igor Krasovsky
+	Asymptotics for a determinant with a confluent hypergeometric kernel	2010	Percy Deift Igor Krasovsky J. Vasilevska
+ PDF Chat	Higher‐order analogues of the Tracy‐Widom distribution and the Painlevé II hierarchy	2009	Tom Claeys Igor Krasovsky Alexander Its
+	Large Gap Asymptotics for Random Matrices	2009	Igor Krasovsky
+	Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities	2009	Percy Deift A. R. Its Igor Krasovsky
+	Higher order analogues of the Tracy-Widom distribution and the Painleve II hierarchy	2009	Tom Claeys A. R. Its Igor Krasovsky
+ PDF Chat	Asymptotics of the Airy-Kernel Determinant	2008	Percy Deift A. R. Its Igor Krasovsky
+	Toeplitz and Hankel determinants with singularities: announcement of results	2008	Percy Deift A. R. Its Igor Krasovsky
+ PDF Chat	Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump	2008	A. R. Its Igor Krasovsky
+ PDF Chat	Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant	2007	Igor Krasovsky
+	Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump	2007	A. R. Its Igor Krasovsky
+	The Widom–Dyson constant for the gap probability in random matrix theory	2006	Percy Deift A. R. Its Igor Krasovsky Xin Zhou
+	Asymptotics of the Airy-kernel determinant	2006	Percy Deift A. R. Its Igor Krasovsky
+	The Widom-Dyson constant for the gap probability in random matrix theory	2006	Percy Deift A. R. Its Igor Krasovsky Xiaowen Zhou
+	Absolute value of the characteristic polynomial in the Gaussian Unitary Ensemble or a singular Hankel determinant	2004	Igor Krasovsky
+	Asymptotics for Toeplitz determinants on a circular arc	2004	Igor Krasovsky
+	None	2004	Igor Krasovsky
+	Correlations of the characteristic polynomials in the Gaussian Unitary Ensemble or a singular Hankel determinant	2004	Igor Krasovsky
+	Gap probability in the spectrum of random matrices and asymptotics of polynomials orthogonal on an arc of the unit circle	2004	Igor Krasovsky
+ PDF Chat	Spectral Estimates for Periodic Jacobi Matrices	2003	Evgeny Korotyaev Igor Krasovsky
+	Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle	2003	Igor Krasovsky
+ PDF Chat	Asymptotic distribution of zeros of polynomials satisfying difference equations	2003	Igor Krasovsky
+ PDF Chat	Continuity of the measure of the spectrum for discrete quasiperiodic operators	2002	Svetlana Jitomirskaya Igor Krasovsky
+	Continuity of the measure of the spectrum for discrete quasiperiodic operators	2001	Svetlana Jitomirskaya Igor Krasovsky
+ PDF Chat	Bloch Electron in a Magnetic Field and the Ising Model	2000	Igor Krasovsky
+	None	2000	Igor Krasovsky
+ PDF Chat	Quasiexactly solvable problems and the dual (<i>q</i>-)Hahn polynomials	2000	Igor Krasovsky
+	Eigenvalue density for a class of Jacobi matrices	1999	Igor Krasovsky
+ PDF Chat	Bethe ansatz for the Harper equation: Solution for a small commensurability parameter	1999	Igor Krasovsky
+	On the discriminant of Harper's equation	1999	Igor Krasovsky
+	Explicit solution to some second-order differential and q-difference eigenvalue equations related to $sl_2$ and $U_q(sl_2)$	1998	Igor Krasovsky
+	Asymptotic distribution of zeros of polynomials satisfying difference equations	1998	Igor Krasovsky
+	A new method in the many-body problem: II	1996	Igor Krasovsky V. I. Peresada
+	On the spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian	1995	Igor Krasovsky

Common Coauthors

Coauthor	Papers Together
Percy Deift	21
A. R. Its	12
Alexander Its	12
Tom Claeys	7
Thomas Bothner	6
Svetlana Jitomirskaya	5
Benjamin Fahs	4
Theo-Harris Maroudas	3
J. Vasilevska	2
Lyuben Konstantinov	2
Alexander Minakov	2
Xin Zhou	1
Evgeny Korotyaev	1
Xiaowen Zhou	1
V. I. Peresada	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Riemann-Hilbert Approach to Asymptotic Problems Arising in the Theory of Random Matrix Models, and also in the Theory of Integrable Statistical Mechanics	1997	Percy Deift Alexander Its Xin Zhou	27
+	On the distribution of the length of the longest increasing subsequence of random permutations	1999	Jinho Baik Percy Deift Kurt Johansson	23
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift	23
+	The isomonodromy approach to matric models in 2D quantum gravity	1992	A. S. Fokas A. R. Its A. V. Kitaev	21
+	None	2004	Igor Krasovsky	18
+	Toeplitz Determinants with Singular Generating Functions	1973	Harold Widom	16
+	The Asymptotics of a Continuous Analogue of Orthogonal Polynomials	1994	Harold Widom	15
+	The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [−1,1]	2004	Arno B. J. Kuijlaars K. T-R McLaughlin Walter Van Assche M. Vanlessen	15
+ PDF Chat	A steepest descent method for oscillatory Riemann-Hilbert problems	1992	Percy Deift Xin Zhou	15
+	The Widom–Dyson constant for the gap probability in random matrix theory	2006	Percy Deift A. R. Its Igor Krasovsky Xin Zhou	14
+ PDF Chat	A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation	1993	Percy Deift Xin Zhou	14
+	Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory	1999	Percy Deift T. Kriecherbauer K. T-R McLaughlin Stephanos Venakides Xin Zhou	13
+ PDF Chat	Orthogonal Polynomials	1971		13
+	A Status Report on the Asymptotic Behavior of Toeplitz Determinants with Fisher-Hartwig Singularities	2001	Torsten Ehrhardt	13
+	Asymptotic behavior of spacing distributions for the eigenvalues of random matrices	1973	J. des Cloizeaux M. L. Mehta	12
+ PDF Chat	Asymptotic formulas for Toeplitz determinants	1978	Estelle Basor	12
+	Toeplitz Determinants: Some Applications, Theorems, and Conjectures	1969	Michael E. Fisher Robert E. Hartwig	11
+ PDF Chat	Dyson's Constant in the Asymptotics of the Fredholm Determinant of the Sine Kernel	2005	Torsten Ehrhardt	11
+ PDF Chat	Level-spacing distributions and the Airy kernel	1994	Craig A. Tracy Harold Widom	11
+ PDF Chat	Asymptotics of the Airy-Kernel Determinant	2008	Percy Deift A. R. Its Igor Krasovsky	10
+	Toeplitz matrices and determinants with Fisher-Hartwig symbols	1985	Albrecht Böttcher Bernd Silbermann	10
+	Toeplitz Operators and Determinants Generated by Symbols with One Fisher-Hartwig Singularity	1986	Albrecht Böttcher Bernd Silbermann	9
+ PDF Chat	Applications and generalizations of Fisher–Hartwig asymptotics	2004	Peter J. Forrester N. E. Frankel	9
+ PDF Chat	Asymptotics of Tracy-Widom Distributions and the Total Integral of a Painlevé II Function	2008	Jinho Baik Robert Buckingham Jeffery C. DiFranco	9
+ PDF Chat	Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities	2011	Percy Deift Alexander Its Igor Krasovsky	9
+	Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory	2002	Alexei Borodin Percy Deift	8
+	Strong asymptotics of orthogonal polynomials with respect to exponential weights	1999	Percy Deift Thomas Kriecherbauer K. T‐R McLaughlin Stephanos Venakides Xiaowen Zhou	7
+ PDF Chat	Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant	2007	Igor Krasovsky	7
+ PDF Chat	Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump	2008	A. R. Its Igor Krasovsky	7
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	7
+ PDF Chat	Dyson’s Constants in the Asymptotics of the Determinants of Wiener-Hopf-Hankel Operators with the Sine Kernel	2007	Torsten Ehrhardt	7
+	None	1997	Percy Deift Stephanos Venakides Xiaowen Zhou	7
+ PDF Chat	Bethe ansatz for the Harper equation: Solution for a small commensurability parameter	1999	Igor Krasovsky	6
+ PDF Chat	Asymptotics of a τ-function arising in the two-dimensional Ising model	1991	Craig A. Tracy	6
+ PDF Chat	The Fisher-Hartwig conjecture and generalizations	1991	Estelle Basor Craig A. Tracy	6
+ PDF Chat	Asymptotics of Toeplitz determinants and the emptiness formation probability for the XY spin chain	2005	Fabio Franchini Alexander G. Abanov	6
+	Some Asymptotic Expansions for Prolate Spheroidal Wave Functions	1965	D. Slepian	6
+ PDF Chat	Random words, Toeplitz determinants and integrable systems: II	2001	Alexander Its Craig A. Tracy Harold Widom	6
+ PDF Chat	Studies on holonomic quantum fields, XVII	1980	Michio Jimbo Tetsuji Miwa	5
+ PDF Chat	Spectral pollution and second-order relative spectra for self-adjoint operators	2004	Michael Levitin	5
+ PDF Chat	Some remarks on large Toeplitz determinants	1972	Andrew Lenard	5
+ PDF Chat	On the measure of the spectrum for the almost Mathieu operator	1991	J. E. Avron Pierre van Mouche Barry Simon	5
+	None	1999	T. Kriecherbauer K. T-R McLaughlin	5
+	Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent	1980	Michio Jimbo Tetsuji Miwa Yasuko Mōri Mikio Sato	5
+ PDF Chat	Monodromy Problem and the Boundary Condition for Some Painlevé Equations	1982	Michio Jimbo	5
+	Gauss polynomials and the rotation algebra	1990	Man-Duen Choi George A. Elliott Noriko Yui	5
+ PDF Chat	Aspects of Toeplitz Determinants	2011	Igor Krasovsky	5
+	The Riemann–Hilbert Problem and Inverse Scattering	1989	Xin Zhou	5
+	On fluctuations of eigenvalues of random Hermitian matrices	1998	Kurt Johansson	5
+	The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders	1981	Albrecht Böttcher Bernd Silbermann	5