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
orthogonal polynomialsHankel determinantPainlevé equationsRiemann-Hilbert problemsLaguerre unitary ensembles
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)
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