In this paper we consider drift and entropy growth for symmetric
finitary random walks on finitely generated groups.
We construct examples of various intermediate asymptotics of
the drift for such random walks. We establish general inequalities
which connect drift, entropy
and exponential growth rate of groups. Then we apply these inequalities
to get estimates for entropy in particular examples.
Publié le : 2003-07-14
Classification:
Random walk,
entropy,
rate of escape,
drift,
amenable group,
wreath product,
60B99,
43A05,
43A07
@article{1055425775,
author = {Erschler, Anna},
title = {On drift and entropy growth for random walks on groups},
journal = {Ann. Probab.},
volume = {31},
number = {1},
year = {2003},
pages = { 1193-1204},
language = {en},
url = {http://dml.mathdoc.fr/item/1055425775}
}
Erschler, Anna. On drift and entropy growth for random walks on groups. Ann. Probab., Tome 31 (2003) no. 1, pp. 1193-1204. http://gdmltest.u-ga.fr/item/1055425775/