Toeplitz determinants from compatibility conditions

DOI10.1007/s11139-007-9090-0zbMath1149.15003arXivmath/0402362OpenAlexW2077363986MaRDI QIDQ935005

Yang Chen, Estelle L. Basor

Publication date: 31 July 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402362

zbMATH Keywords

difference equationsToeplitz determinantsorthogonal polynomials on the unit circleFisher-Hartwig singularity

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Additive difference equations (39A10) Random matrices (algebraic aspects) (15B52)

Related Items (6)

PDEs SATISFIED BY EXTREME EIGENVALUES DISTRIBUTIONS OF GUE AND LUE ⋮ Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results ⋮ On determinant expansions for Hankel operators ⋮ Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. ⋮ Perturbed Hankel determinant, correlation functions and Painlevé equations ⋮ Ewens Measures on Compact Groups and Hypergeometric Kernels

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• Random words, Toeplitz determinants and integrable systems. II

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