Center of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansions

DOI10.1063/1.5023128zbMath1402.60012arXiv1801.07454OpenAlexW3104260346MaRDI QIDQ4556642

Yang Chen, Gordon Blower, Longjun Zhan, Mengkun Zhu

Publication date: 16 November 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07454

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) Magnetohydrodynamics and electrohydrodynamics (76W05) Random matrices (algebraic aspects) (15B52) Proximity structures and generalizations (54E05) Painlevé-type functions (33E17)

Related Items (8)

Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮ Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble ⋮ Linear statistics of random matrix ensembles at the spectrum edge associated with the Airy kernel ⋮ Painlevé V for a Jacobi unitary ensemble with random singularities ⋮ Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities ⋮ Orthogonal polynomials, asymptotics, and Heun equations ⋮ Painlevé IV, σ-form, and the deformed Hermite unitary ensembles ⋮ A note on the asymptotics of the Hankel determinant associated with time-dependent Jacobi polynomials

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