Painlevé III' and the Hankel determinant generated by a singularly perturbed Gaussian weight

DOI10.1016/j.nuclphysb.2018.09.016zbMath1400.33020arXiv1807.05961OpenAlexW2884316008MaRDI QIDQ1993683

Yanyan Li

Publication date: 5 November 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05961

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singular perturbations of ordinary differential equations (34D15) Other special orthogonal polynomials and functions (33C47) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (11)

Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮ Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight ⋮ Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants ⋮ A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight ⋮ Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble ⋮ Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble ⋮ A singular linear statistic for a perturbed LUE and the Hankel matrices ⋮ Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight ⋮ Semi-classical Jacobi polynomials, Hankel determinants and asymptotics ⋮ Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble ⋮ Applications in random matrix theory of a PIII′ τ-function sequence from Okamoto’s Hamiltonian formulation

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