Amenability via random walks
Group Theory
2011-11-10 v1 Probability
Abstract
We answer an open question of Grigorchuk and Zuk about amenability using random walks. Our results separate the class of amenable groups from the closure of subexponentially growing groups under the operations of group extension and direct limits; these classes are separated even within the realm of finitely presented groups.
Cite
@article{arxiv.math/0305262,
title = {Amenability via random walks},
author = {Laurent Bartholdi and Balint Virag},
journal= {arXiv preprint arXiv:math/0305262},
year = {2011}
}
Comments
11 pages, 2 figures