Critical edge behavior in the modified Jacobi ensemble and the Painlevé V transcendents

DOI10.1063/1.4819244zbMath1298.60018OpenAlexW2068917534MaRDI QIDQ5407655

Yu-Qiu Zhao, Shuai-Xia Xu

Publication date: 7 April 2014

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

Full work available at URL: https://doi.org/10.1063/1.4819244

zbMATH Keywords

Jacobi unitary ensemblePainlevé V equationlimit kernel at the edge

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (5)

Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight ⋮ Critical edge behavior in the singularly perturbed Pollaczek–Jacobi type unitary ensemble ⋮ Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble ⋮ On the ratio probability of the smallest eigenvalues in the Laguerre unitary ensemble ⋮ Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

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