Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble

DOI10.1142/S2010326320500161zbMath1440.15038arXiv1901.00318OpenAlexW3104512455MaRDI QIDQ5107060

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Publication date: 22 April 2020

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

Full work available at URL: https://arxiv.org/abs/1901.00318

zbMATH Keywords

asymptoticsorthogonal polynomialsHankel determinantPainlevé equationsladder operatorsdegenerate Laguerre unitary ensemble

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Random matrices (algebraic aspects) (15B52) Painlevé-type functions (33E17) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)

Related Items (7)

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 ⋮ A singular linear statistic for a perturbed LUE and the Hankel matrices ⋮ Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities ⋮ On differential systems related to generalized Meixner and deformed Laguerre orthogonal polynomials ⋮ Semi-classical Jacobi polynomials, Hankel determinants and asymptotics

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