Regularity of the entropy for random walks on hyperbolic groups

Francois Ledrappier (1)

1 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

We consider non-degenerate, 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.

Mots clés: entropy; hyperbolic group

Domaines: Probabilités [math.PR]; Systèmes dynamiques [math.DS]

Francois Ledrappier. Regularity of the entropy for random walks on hyperbolic groups. 2011. ⟨hal-00632262v2⟩