Open AccessAnalyticity of the entropy for some random walks
Author(s) -
François Ledrappier
Publication year - 2012
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/159
Subject(s) - mathematics , random walk , entropy (arrow of time) , statistical physics , combinatorics , discrete mathematics , pure mathematics , statistics , physics , quantum mechanics
We consider non-degenerate, finitely supported random walks on a free group.We show that the entropy and the linear drift vary analytically with theprobability of constant support.
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