The largest eigenvalue distribution of the Laguerre unitary ensemble

DOI10.1016/S0252-9602(17)30013-9zbMath1389.33006arXiv1511.00795OpenAlexW2963102633MaRDI QIDQ681014

Yang Chen, Shu-Lin Lyu

Publication date: 29 January 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00795

zbMATH Keywords

orthogonal polynomialsdifferential equationsPainlevé equations

Mathematics Subject Classification ID

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)

Related Items (10)

Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight ⋮ Center of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansions ⋮ Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble ⋮ Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants ⋮ Exceptional solutions to the Painlevé VI equation associated with the generalized Jacobi weight ⋮ On differential systems related to generalized Meixner and deformed Laguerre orthogonal polynomials ⋮ Orthogonal polynomials, asymptotics, and Heun equations ⋮ Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble ⋮ Painlevé IV, σ-form, and the deformed Hermite unitary ensembles ⋮ Gap probabilities in the Laguerre unitary ensemble and discrete Painlevé equations

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