CMV matrices in random matrix theory and integrable systems: a survey

DOI10.1088/0305-4470/39/28/S04zbMath1098.15019arXivmath-ph/0510045OpenAlexW3101059220MaRDI QIDQ5481172

Irina Nenciu

Publication date: 7 August 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0510045

zbMATH Keywords

Hermitian matricesrandom matricesintegrable systemsJacobi matricesorthogonal polynomialLaguerre ensemble

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Random matrices (algebraic aspects) (15B52)

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