Asymptotic behavior of the Verblunsky coefficients for the OPUC with a varying weight

DOI10.1063/1.4705276zbMath1277.42032arXiv1006.5515OpenAlexW3105192863MaRDI QIDQ2860750

Mihail Poplavskyi

Publication date: 20 November 2013

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

Full work available at URL: https://arxiv.org/abs/1006.5515

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

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• On the distribution of the length of the longest increasing subsequence of random permutations
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• On the \(1/n\) expansion for some unitary invariant ensembles of random matrices

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