Matrix models, Toeplitz determinants and recurrence times for powers of random unitary matrices

DOI10.1142/S2010326315500112zbMath1362.15026arXiv1412.3085WikidataQ104556626 ScholiaQ104556626MaRDI QIDQ3450526

Olivier Marchal

Publication date: 6 November 2015

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3085

zbMATH Keywords

numerical exampleeigenvaluerandom matricesStein's methodhitting timesspectral curveToeplitz determinantsunitary matricesquantum measurementstopological recursionWidom formularecurrence times

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45) Quantum measurement theory, state operations, state preparations (81P15) Random matrices (algebraic aspects) (15B52) Toeplitz, Cauchy, and related matrices (15B05) Orthogonal matrices (15B10)

Related Items (2)

Asymptotic expansion of Toeplitz determinants of an indicator function with discrete rotational symmetry and powers of random unitary matrices ⋮ Asymptotic expansions of some Toeplitz determinants via the topological recursion

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