Random walks in compact groups

By P. P. Varj'u. Documenta Mathematica, 2012

47 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/38801f2e6c6dfaa97be96235b9904faedeb36559

How researchers see this paper

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In Computational Theory and Mathematics

1. Evgeny Zelenov
2. Sergei V. Kozyrev
3. A. Khrennikov
4. Branko Dragovich
5. Igor V. Volovich

In Geometry and Topology

1. A. Khrennikov
2. Branko Dragovich
3. Igor V. Volovich
4. Sergei V. Kozyrev

Citations in the corpus

• p-Adic mathematical physics: the first 30 years (2017, background): “The problem considered is closely related to random walks on cyclic groups ([252]) and on profinite (commutative or noncomutative) groups ([254, 255]).”