Cut-off phenomenon in the uniform plane Kac walk

DOI10.1214/16-AOP1111zbMath1401.60134arXiv1211.2031MaRDI QIDQ2406562

Yunjiang Jiang, Bob Hough

Publication date: 5 October 2017

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2031

zbMATH Keywords

rate of convergencesaddle point analysischaracter theoryrandom walk on \(\mathrm{SO}(2n+1)\)Rosenthal's walk

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Ordinary representations and characters (20C15) Harmonic analysis on specific compact groups (43A75) Convergence of probability measures (60B10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (5)

On the mixing time of Kac's walk and other high-dimensional Gibbs samplers with constraints ⋮ Mixing time and cutoff for one-dimensional particle systems ⋮ Quantum reflections, random walks and cut-off ⋮ Mixing time of the adjacent walk on the simplex ⋮ Cut-off phenomenon for random walks on free orthogonal quantum groups

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