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.
Cite this article
François Ledrappier, Analyticity of the entropy for some random walks. Groups Geom. Dyn. 6 (2012), no. 2, pp. 317–333DOI 10.4171/GGD/159