Analyticity of the entropy and the escape rate of random walks in hyperbolic groups

HIGHLIGHTS

• who: Sebastien Gouezel from the (UNIVERSITY) have published the paper: Analyticity of the Entropy and the Escape Rate of Random Walks in Hyperbolic Groups, in the Journal: (JOURNAL)
• what: On the set of admissible probability measures whose support is contained in given finite set the authors show that both quantities depend in an analytic way on the probability measure. This is compatible with the inequality the authors seek, for a large C > 2eβ N. When µ ∈ U, the authors show in the same way that Mµ maps continuously Cβ into itself.

SUMMARY

 



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