Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge

DOI10.1007/s00220-016-2691-yzbMath1371.33034arXiv1507.01710OpenAlexW845931339MaRDI QIDQ328185

A. Bogatskiy, Tom Claeys, Alexander R. Its

Publication date: 20 October 2016

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

Full work available at URL: https://arxiv.org/abs/1507.01710

zbMATH Keywords

asymptotic behaviororthogonal polynomialsRiemann-Hilbert problemPainlevé transcendentsrandom matrix theory

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Other special orthogonal polynomials and functions (33C47) Painlevé-type functions (33E17)

Related Items (25)

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