Relative Szegő Asymptotics for Toeplitz Determinants

DOI10.1093/imrn/rnx266zbMath1460.15033arXiv1611.01020OpenAlexW2963923798MaRDI QIDQ5855196

Rostyslav Kozhan, Maurice Duits

Publication date: 15 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01020

zbMATH Keywords

orthogonal polynomialsToeplitz determinantsSzegő Limit Theorem

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Toeplitz, Cauchy, and related matrices (15B05)

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Asymptotic expansion of Toeplitz determinants of an indicator function with discrete rotational symmetry and powers of random unitary matrices ⋮ Strong Szegő theorem on a Jordan curve ⋮ Asymptotic expansions of some Toeplitz determinants via the topological recursion ⋮ Global fluctuations for multiple orthogonal polynomial ensembles

Cites Work

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• Universality of mesoscopic fluctuations for orthogonal polynomial ensembles
• The Nevai condition and a local law of large numbers for orthogonal polynomial ensembles
• Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
• Extensions of Szegö's theory of orthogonal polynomials. II
• Extensions of Szegö's theory of orthogonal polynomials. III
• A norm inequality for a 'finite-section' Wiener-Hopf equation
• Asymptotic behavior of block Toeplitz matrices and determinants. II
• On random matrices from the compact classical groups
• Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle
• A generalization of Pincus' formula and Toeplitz operator determinants
• On global fluctuations for non-colliding processes
• Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
• Central limit theorems for biorthogonal ensembles and asymptotics of recurrence coefficients
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
• Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture
• Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results
• ON SZEGÖ'S LIMIT THEOREM

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