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Eigenvalues of Toeplitz matrices in the bulk of the spectrum

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arxiv 1110.4089 v2 pith:TBSEXOI4 submitted 2011-10-18 math.FA math-phmath.CAmath.MP

P. Deift , A. Its , I. Krasovsky This is my paper · ORCID
classification math.FAmath-phmath.CAmath.MP
keywords eigenvaluestoeplitzauthorsmatricesanalyzeasymptoticsbulkcertain
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The authors analyze the asymptotics of eigenvalues of Toeplitz matrices with certain continuous and discontinuous symbols. In particular, the authors prove a conjecture of Levitin and Shargorodsky on the near-periodicity of Toeplitz eigenvalues.

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  1. A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

    math-ph 2019-09 accept novelty 8.0 of 10

    A 4x4 Riemann-Hilbert formalism gives large-n asymptotics for Toeplitz+Hankel determinants with independent symbols, conditional on a non-degeneracy bound and verified for an explicit family.

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