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Regularity of the entropy for random walks on hyperbolic groups
Authors
Ledrappier, François
Citation
Ledrappier, François, Regularity of the entropy for random walks on hyperbolic groups, Annals of probability , 41(5), 2013, pp. 3582-3605
Journal title
Annals of probability
→
ACNP
ISSN journal
00911798
Volume
41
Issue
5
Year of publication
2013
Pages
3582 - 3605
Database
ACNP
SICI code
Abstract
We consider nondegenerate, finitely supported random walks on a finitely generated Gromov hyperbolic group. We show that the entropy and the escape rate are Lipschitz functions of the probability if the support remains constant.