Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system

DOI10.1016/j.physd.2023.133755zbMath1518.35523arXiv2202.00943OpenAlexW4366245857MaRDI QIDQ6156238

Shuai-Xia Xu, Yang Chen, Shu-Lin Lyu

Publication date: 13 June 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.00943

zbMATH Keywords

orthogonal polynomialsHankel determinantPainlevé equationsRiemann-Hilbert problemsLaguerre unitary ensembles

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Partial difference equations (39A14)

Related Items (3)

Hankel determinants for a Gaussian weight with Fisher–Hartwig singularities and generalized Painlevé IV equation ⋮ Exponential moments for disk counting statistics at the hard edge of random normal matrices ⋮ Exponential moments for disk counting statistics of random normal matrices in the critical regime

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