Critical edge behavior in the modified Jacobi ensemble and Painlevé equations

DOI10.1088/0951-7715/28/6/1633zbMath1318.33040arXiv1404.5105OpenAlexW3102062667MaRDI QIDQ5264463

Shuai-Xia Xu, Yu-Qiu Zhao

Publication date: 27 July 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5105

zbMATH Keywords

random matrixPainlevé III equationRiemann-Hilbert approachuniform asymptotic approximationPainlevé V equationmodified Jacobi unitary ensemble

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (6)

Random matrices with merging singularities and the Painlevé V equation ⋮ Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight ⋮ Critical edge behavior in the perturbed Laguerre unitary ensemble and the Painlevé V transcendent ⋮ Critical edge behavior in the singularly perturbed Pollaczek–Jacobi type unitary ensemble ⋮ Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system ⋮ Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system

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