Random walks on (hyperbolic) groups

Date
2016/05/25 Wed 16:30 - 17:30
Room
3号館110講演室
Speaker
Pierre Mathieu
Affiliation
kyoto University & Universit'e d'Aix-Marseille
Abstract

the first part of the talk will be an introduction to the general
theory of random walks on groups with some classical results on entropy,
rate of escape ... . For hyperbolic groups, these probabilistic objects
have geometric counterparts in terms of Gromov boundary, quasi-conformal
measures ... I will mention applications and open questions.
Finally I will discuss fluctuation results - like the central limit
theorem - in particular a recent work with A. Sisto on deviation
inequalities for random walks on cylindrically hyperbolic groups.