Geodesic
Analyticity of the entropy and the escape rate of random walks in hyperbolic groups
Discrete analysis (2017)

Voir la notice de l'article provenant de la source Scholastica

arXiv
We consider random walks on a non-elementary hyperbolic group endowed with a word distance. To a probability measure on the group are associated two numerical quantities, the rate of escape and the entropy. On the set of admissible probability measures whose support is contained in a given finite set, we show that both quantities depend in an analytic way on the probability measure. Our spectral techniques also give a new proof of the central limit theorem, and imply that the corresponding variance is analytic.
Publié le : 
Sébastien Gouëzel. Analyticity of the entropy and the escape rate of random walks in hyperbolic groups. Discrete analysis (2017). http://geodesic.mathdoc.fr/item/DAS_2017_a13/
@article{DAS_2017_a13,
     author = {S\'ebastien Gou\"ezel},
     title = {Analyticity of the entropy and the escape rate of random walks in hyperbolic groups},
     journal = {Discrete analysis},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DAS_2017_a13/}
}
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AU  - Sébastien Gouëzel
TI  - Analyticity of the entropy and the escape rate of random walks in hyperbolic groups
JO  - Discrete analysis
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