Analyticity of the entropy for some random walks

Francois 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 th eprobability of constant support.

Mots clés: entropy; free group

Domaines: Probabilités [math.PR]

Francois Ledrappier. Analyticity of the entropy for some random walks. 2010. ⟨hal-00521426v1⟩