The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI

DOI10.1088/1751-8113/43/40/405204zbMath1206.34113arXiv1005.1298OpenAlexW2028558540MaRDI QIDQ3052896

Steven J. Miller, Eduardo Dueñez, Duc Khiem Huynh, Jonathan P. Keating, Nina Claire Snaith

Publication date: 3 November 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1298

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Eigenvalues, singular values, and eigenvectors (15A18) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Random matrices (algebraic aspects) (15B52)

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