Critical edge behavior in the perturbed Laguerre unitary ensemble and the Painlevé V transcendent

DOI10.1016/j.jmaa.2019.01.064zbMath1451.34110arXiv1711.04383OpenAlexW2964033729MaRDI QIDQ2414841

Min Chen, Yang Chen, En-gui Fan

Publication date: 17 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.04383

zbMATH Keywords

Riemann-Hilbert problemHankel determinantsDeift-Zhou nonlinear steepest descent methodPainlevé V equationperturbed Laguerre weight

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (1)

Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble

Uses Software

• DLMF

Cites Work

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