Random walks in compact groups
Abstract
Let X1,X2,... be independent identically distributed random elements of a compact group G. We discuss the speed of convergence of the law of the product Xl*...*X1 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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