A Unitary Extension of Virtual Permutations

DOI10.1093/imrn/rns167zbMath1314.60023arXiv1102.2633OpenAlexW2112283019MaRDI QIDQ5251469

Ashkan Nikeghbali, Paul Bourgade, Joseph Najnudel

Publication date: 20 May 2015

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

Full work available at URL: https://arxiv.org/abs/1102.2633

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Representations of infinite symmetric groups (20C32)

Related Items (14)

On a Flow of Operators Associated to Virtual Permutations ⋮ On a distinguished family of random variables and Painlevé equations ⋮ Cycles and eigenvalues of sequentially growing random regular graphs ⋮ Sum rules and large deviations for spectral measures on the unit circle ⋮ The limiting characteristic polynomial of classical random matrix ensembles ⋮ The circular unitary ensemble and the Riemann zeta function: the microscopic landscape and a new approach to ratios ⋮ Limits for circular Jacobi beta-ensembles ⋮ Characteristic polynomials of modified permutation matrices at microscopic scale ⋮ Mesoscopic central limit theorem for the circular \(\beta\)-ensembles and applications ⋮ Virtual Markov Chains ⋮ Limit Operators for Circular Ensembles ⋮ The boundary of the orbital beta process ⋮ Strong convergence of eigenangles and eigenvectors for the circular unitary ensemble ⋮ Operator limit of the circular beta ensemble

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