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Asymptotics of Fredholm Determinant Associated with the Pearcey Kernel

Communications in mathematical physics, 2021-03, Vol.382 (3), p.1769-1809

2021

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Tracy–Widom Distributions in Critical Unitary Random Matrix Ensembles and the Coupled Painlevé II System

Communications in mathematical physics, 2019-01, Vol.365 (2), p.515-567

2019

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Gap Probability for the Hard Edge Pearcey Process

Annales Henri Poincaré, 2023-06, Vol.24 (6), p.2067-2136

2023

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Gap Probability of the Circular Unitary Ensemble with a Fisher–Hartwig Singularity and the Coupled Painlevé V System

Communications in mathematical physics, 2020-07, Vol.377 (2), p.1545-1596

2020

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Gaussian Unitary Ensembles with Pole Singularities Near the Soft Edge and a System of Coupled Painlevé XXXIV Equations

Annales Henri Poincaré, 2019-10, Vol.20 (10), p.3313-3364

2019

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Isomonodromy sets of accessory parameters for Heun class equations

Studies in applied mathematics (Cambridge), 2021-05, Vol.146 (4), p.901-952

2021

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Gaussian Unitary Ensemble with Boundary Spectrum Singularity and σ‐Form of the Painlevé II Equation

Studies in applied mathematics (Cambridge), 2018-02, Vol.140 (2), p.221-251

2018

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On the deformed Pearcey determinant

Advances in mathematics (New York. 1965), 2022-05, Vol.400, p.108291, Article 108291

2022

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Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system

Physica. D, 2023-07, Vol.449, p.133755, Article 133755

2023

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On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation

Journal of Differential Equations, 2020-07, Vol.269 (3), p.2430-2476

2020

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Singular asymptotics for the Clarkson–McLeod solutions of the fourth Painlevé equation

Physica. D, 2022-06, Vol.434, p.133254, Article 133254

2022

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Clarkson-McLeod solutions of the fourth Painlevé equation and the parabolic cylinder-kernel determinant

Journal of Differential Equations, 2023-04, Vol.352, p.249-307

2023

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On the Fredholm determinant of the confluent hypergeometric kernel with discontinuities

Physica. D, 2024-05, Vol.461, p.134101, Article 134101

2024

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Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight

Studies in applied mathematics (Cambridge), 2015-11, Vol.135 (4), p.347-376

2015

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Critical Edge Behavior and the Bessel to Airy Transition in the Singularly Perturbed Laguerre Unitary Ensemble

Communications in mathematical physics, 2014-12, Vol.332 (3), p.1257-1296

2014

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Gap Probability at the Hard Edge for Random Matrix Ensembles with Pole Singularities in the Potential

SIAM journal on mathematical analysis, 2018-01, Vol.50 (2), p.2233-2279

2018

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Global Asymptotics of Orthogonal Polynomials Associated with a Generalized Freud Weight

Chinese annals of mathematics. Serie B, 2018-05, Vol.39 (3), p.553-596

2018

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Painlevé XXXIV Asymptotics of Orthogonal Polynomials for the Gaussian Weight with a Jump at the Edge

Studies in applied mathematics (Cambridge), 2011-07, Vol.127 (1), p.67-105

2011

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Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems

Nonlinearity, 2021-04, Vol.34 (4), p.2070-2115

2021

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Asymptotics of the deformed higher order Airy-kernel determinants and applications

Nonlinearity, 2023-08, Vol.36 (8), p.4384-4424

2023

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Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

Journal of approximation theory, 2015-04, Vol.192, p.1-18

2015

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Asymptotics of the determinant of the modified Bessel functions and the second Painlevé equation

Random matrices, theory and applications, 2024-01, Vol.13 (1)

2024

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Location of Poles for the Hastings–McLeod Solution to the Second Painlevé Equation

Constructive approximation, 2016-06, Vol.43 (3), p.463-494

2016

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Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point

Analysis and applications, 2016-09, Vol.14 (5), p.705-737

2016

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Applications in random matrix theory of a PIII′ τ-function sequence from Okamoto’s Hamiltonian formulation

Random matrices, theory and applications, 2022-04, Vol.11 (2)

2022

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Asymptotics of Fredholm Determinant Associated with the Pearcey Kernel

Tracy–Widom Distributions in Critical Unitary Random Matrix Ensembles and the Coupled Painlevé II System

Gap Probability for the Hard Edge Pearcey Process

Gap Probability of the Circular Unitary Ensemble with a Fisher–Hartwig Singularity and the Coupled Painlevé V System

Gaussian Unitary Ensembles with Pole Singularities Near the Soft Edge and a System of Coupled Painlevé XXXIV Equations

Isomonodromy sets of accessory parameters for Heun class equations

Gaussian Unitary Ensemble with Boundary Spectrum Singularity and σ‐Form of the Painlevé II Equation

On the deformed Pearcey determinant

Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system

On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation

Singular asymptotics for the Clarkson–McLeod solutions of the fourth Painlevé equation

Clarkson-McLeod solutions of the fourth Painlevé equation and the parabolic cylinder-kernel determinant

On the Fredholm determinant of the confluent hypergeometric kernel with discontinuities

Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight

Critical Edge Behavior and the Bessel to Airy Transition in the Singularly Perturbed Laguerre Unitary Ensemble

Gap Probability at the Hard Edge for Random Matrix Ensembles with Pole Singularities in the Potential

Global Asymptotics of Orthogonal Polynomials Associated with a Generalized Freud Weight

Painlevé XXXIV Asymptotics of Orthogonal Polynomials for the Gaussian Weight with a Jump at the Edge

Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems

Asymptotics of the deformed higher order Airy-kernel determinants and applications

Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

Asymptotics of the determinant of the modified Bessel functions and the second Painlevé equation

Location of Poles for the Hastings–McLeod Solution to the Second Painlevé Equation

Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point

Applications in random matrix theory of a PIII′ τ-function sequence from Okamoto’s Hamiltonian formulation

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