Speed exponents of random walks on groups
Probability
2021-03-23 v4 Group Theory
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.
Cite
@article{arxiv.1203.6226,
title = {Speed exponents of random walks on groups},
author = {Gideon Amir and Balint Virag},
journal= {arXiv preprint arXiv:1203.6226},
year = {2021}
}
Comments
30 pages