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arXiv · 1203.6226

Speed exponents of random walks on groups

Gideon Amir·Balint Virag
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Abstract

For every 3/4 <= beta < 1 we construct a finitely generated group so that the expected distance of the simple random walk from its starting point is within a constant factor of n^beta. In fact, the speed can be set precisely to equal any nice prescribed function up to a constant factor.

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Gideon Amir, Balint Virag. 2015-10-06. Speed exponents of random walks on groups. https://doi.org/10.1093/imrn%2Frnv378

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