Analyticity of the entropy for some random walks

F. Ledrappier (1)

1 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

We consider non-degenerate, finitely supported random walks on a free group. We show that the entropy and the linear drift vary analytically with the probability of constant support.

Domaines: Probabilités [math.PR]

F. Ledrappier. Analyticity of the entropy for some random walks. Groups, Geometry, and Dynamics, 2012, 6 (2), pp.317-333. ⟨10.4171/GGD/159⟩. ⟨hal-00705220⟩