Drift and entropy growth for random walks on groups

Details Drift and entropy growth for random walks on groups Drift and entropy growth for random walks on groups

2001-01-09

arxiv.org/abs/math/0101070v2

Mathematics

Group Theory

12 pages

Scientific paper

In this paper we consider finitary symmetric random walks on groups. We
construct new possible asymptotics for the drift. We show that the drift can be
very close to linear ant yet sublinear. We also give estimates for entropy
growth of these random walks. In particular, we prove that there exist
infinitely many asymptotics of entropy.

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