Amenability via random walks

Details Amenability via random walks Amenability via random walks

2003-05-19

arxiv.org/abs/math/0305262v1

Duke Math. J. 130 (2005), no. 1, 39--56

Mathematics

Group Theory

11 pages, 2 figures

Scientific paper

10.1215/S0012-7094-05-13012-5

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.

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