|
This article is cited in 9 scientific papers (total in 9 papers)
Brief communications
Continuity of Asymptotic Characteristics for Random Walks on Hyperbolic Groups
V. A. Kaimanovicha, A. G. Erschlerb a University of Ottawa
b Paris-Sud University 11
Abstract:
We describe a new approach to proving the continuity of asymptotic entropy as a function of a transition measure under a finite first moment condition. It is based on using conditional random walks and amounts to checking uniformity in the strip criterion for the identification of the Poisson boundary. It is applicable to word hyperbolic groups and in several other situations when the Poisson boundary can be identified with an appropriate geometric boundary.
Keywords:
random walk, asymptotic entropy, hyperbolic groups.
Received: 02.07.2012
Citation:
V. A. Kaimanovich, A. G. Erschler, “Continuity of Asymptotic Characteristics for Random Walks on Hyperbolic Groups”, Funktsional. Anal. i Prilozhen., 47:2 (2013), 84–89; Funct. Anal. Appl., 47:2 (2013), 152–156
Linking options:
https://www.mathnet.ru/eng/faa3110https://doi.org/10.4213/faa3110 https://www.mathnet.ru/eng/faa/v47/i2/p84
|
Statistics & downloads: |
Abstract page: | 541 | Full-text PDF : | 203 | References: | 53 | First page: | 18 |
|