Critical edge behavior in the singularly perturbed Pollaczek–Jacobi type unitary ensemble

DOI10.1142/s2010326322500137zbMath1526.33003arXiv2004.11971OpenAlexW3166406905MaRDI QIDQ6085487

Zhaoyu Wang, En-gui Fan

Publication date: 8 November 2023

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11971

zbMATH Keywords

Riemann-Hilbert problemseigenvalue correlation kernelDeift-Zhou nonlinear steepest descent methodstrong asymptotic expansionssingularly perturbed Pollaczek-Jacobi-type weight

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (4)

Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight ⋮ Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants ⋮ Hankel determinants for a Gaussian weight with Fisher–Hartwig singularities and generalized Painlevé IV equation ⋮ Riemann–Hilbert problem for the Fokas–Lenells equation in the presence of high-order discrete spectrum with non-vanishing boundary conditions

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