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arXiv · 1209.1745

Random walks in compact groups

Péter Pál Varjú
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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.

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Péter Pál Varjú. 2012-09-08. Random walks in compact groups. https://arxiv.org/abs/1209.1745

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