Random walks in compact groups
Group Theory
2015-08-17 v3 Combinatorics
Probability
Abstract
Let X_1,X_2,... be independent identically distributed random elements of a compact group G. We discuss the speed of convergence of the law of the product X_l*...*X_1 to the Haar measure. We give poly-log estimates for certain finite groups and for compact semi-simple Lie groups. We improve earlier results of Solovay, Kitaev, Gamburd, Shahshahani and Dinai.
Cite
@article{arxiv.1209.1745,
title = {Random walks in compact groups},
author = {Péter Pál Varjú},
journal= {arXiv preprint arXiv:1209.1745},
year = {2015}
}
Comments
35 pages, no figures, revision based on referee's report, results and proofs unchanged