Analyticity of the entropy for some random walks

Ledrappier, François

doi:10.4171/GGD/159

Groups, Geometry, and Dynamics

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Volume 6, Issue 2, 2012, pp. 317–333

DOI: 10.4171/GGD/159

Analyticity of the entropy for some random walks

François Ledrappier (1)

(1) LPMA / UMR 7599, Université Paris 6, Case courrier 188, 4, Place Jussieu, 75252, PARIS CEDEX 05, FRANCE

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.

Keywords: Entropy, free group