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Isomonodromy Aspects of the tt Equations of Cecotti and Vafa III: Iwasawa Factorization and Asymptotics

Communications in mathematical physics, 2020-03, Vol.374 (2), p.923-973

2020

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The asymptotic behavior of the discrete holomorphic map Za via the Riemann–Hilbert method

Duke mathematical journal, 2016-10, Vol.165 (14)

2016

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Connection Problem for the Tau-Function of the Sine-Gordon Reduction of Painlevé-III Equation via the Riemann-Hilbert Approach

International mathematics research notices, 2016-01, p.rnv375

2016

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Asymptotics of the Instantons of Painlevé I

International mathematics research notices, 2012-01, Vol.2012 (3), p.561-606

2012

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Riemann–Hilbert approach to a generalized sine kernel

Letters in mathematical physics, 2020-02, Vol.110 (2), p.297-325

2020

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Isomonodromy Aspects of the tt Equations of Cecotti and Vafa II: Riemann–Hilbert Problem

Communications in mathematical physics, 2015-05, Vol.336 (1), p.337-380

2015

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Double scaling limit in the random matrix model: The Riemann-Hilbert approach

Communications on pure and applied mathematics, 2003-04, Vol.56 (4), p.433-516

2003

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Connection Problem for the Sine-Gordon/Painlevé III Tau Function and Irregular Conformal Blocks: Fig. 1

International mathematics research notices, 2015, Vol.2015 (18), p.8903-8924

2015

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Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results

Communications on pure and applied mathematics, 2013-09, Vol.66 (9), p.1360-1438

2013

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Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

Annals of mathematics, 2011-09, Vol.174 (2), p.1243-1299

2011

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A Riemann–Hilbert approach to the Akhiezer polynomials

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2008-03, Vol.366 (1867), p.973-1003

2008

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Harold Widom’s work in random matrix theory

Bulletin (new series) of the American Mathematical Society, 2022-04, Vol.59 (2), p.155-173

2022

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Painlevé III and a singular linear statistics in Hermitian random matrix ensembles, I

Journal of approximation theory, 2010-02, Vol.162 (2), p.270-297

2010

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Riemann–Hilbert approach to the elastodynamic equation: half plane

Letters in mathematical physics, 2021-06, Vol.111 (3), Article 68

2021

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On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo–Miwa–Ueno differential

Advances in mathematics (New York. 1965), 2019-03, Vol.345, p.483-551

2019

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A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

Symmetry, integrability and geometry, methods and applications, 2020-10

2020

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Preface: Introduction to special issue: In memory of Ludwig Faddeev

Journal of mathematical physics, 2018-09, Vol.59 (9)

2018

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Asymptotics of a Fredholm Determinant Corresponding to the First Bulk Critical Universality Class in Random Matrix Models

Communications in mathematical physics, 2014-05, Vol.328 (1), p.155-202

2014

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Integrable Fredholm operators and dual isomonodromic deformations

Communications in mathematical physics, 2002-04, Vol.226 (3), p.497-530

2002

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The Riemann–Hilbert approach to the Helmholtz equation in a quarter-plane: Neumann, Robin and Dirichlet boundary conditions

Letters in mathematical physics, 2018-04, Vol.108 (4), p.1109-1135

2018

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Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2013-01, Vol.469 (2149), p.20120199-20120199

2013

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On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I

Communications in mathematical physics, 2015-08, Vol.337 (3), p.1397-1463

2015

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The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent

Physica. D, 2012-12, Vol.241 (23-24), p.2204-2225

2012

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Asymptotics of the partition function of a random matrix model

Annales de l'Institut Fourier, 2005, Vol.55 (6), p.1943-2000

2005

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The Isomonodromic Deformation Method in the Theory of Painleve Equations

1986 edition., 1986

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Isomonodromy Aspects of the tt Equations of Cecotti and Vafa III: Iwasawa Factorization and Asymptotics

The asymptotic behavior of the discrete holomorphic map Za via the Riemann–Hilbert method

Connection Problem for the Tau-Function of the Sine-Gordon Reduction of Painlevé-III Equation via the Riemann-Hilbert Approach

Asymptotics of the Instantons of Painlevé I

Riemann–Hilbert approach to a generalized sine kernel

Isomonodromy Aspects of the tt Equations of Cecotti and Vafa II: Riemann–Hilbert Problem

Double scaling limit in the random matrix model: The Riemann-Hilbert approach

Connection Problem for the Sine-Gordon/Painlevé III Tau Function and Irregular Conformal Blocks: Fig. 1

Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results

Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

A Riemann–Hilbert approach to the Akhiezer polynomials

Harold Widom’s work in random matrix theory

Painlevé III and a singular linear statistics in Hermitian random matrix ensembles, I

Riemann–Hilbert approach to the elastodynamic equation: half plane

On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo–Miwa–Ueno differential

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

Preface: Introduction to special issue: In memory of Ludwig Faddeev

Asymptotics of a Fredholm Determinant Corresponding to the First Bulk Critical Universality Class in Random Matrix Models

Integrable Fredholm operators and dual isomonodromic deformations

The Riemann–Hilbert approach to the Helmholtz equation in a quarter-plane: Neumann, Robin and Dirichlet boundary conditions

Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach

On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I

The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent

Asymptotics of the partition function of a random matrix model

The Isomonodromic Deformation Method in the Theory of Painleve Equations

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