Groups, Geometry, and Dynamics
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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