DISCRETE INTEGRABLE SYSTEMS ASSOCIATED WITH THE UNITARY MATRIX MODEL

DOI10.1142/S0219530504000047zbMath1076.37059MaRDI QIDQ5315828

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Publication date: 9 September 2005

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Orthogonal polynomialsIntegrable latticesUnitary matrix model

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) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

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• Degeneration through coalescence of theq-Painlevé VI equation
• On the distribution of the length of the longest increasing subsequence of random permutations
• The discrete first, second and thirty-fourth Painlevé hierarchies
• Nonperturbative two-dimensional quantum gravity
• Orthonormal polynomials on the unit circle and spatially discrete PainlevéII equation
• Random words, Toeplitz determinants and integrable systems. II

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