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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 2, Pages 84–89
DOI: https://doi.org/10.4213/faa3110 (Mi faa3110) 		 
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
Full-text PDF (173 kB) Citations (9)
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DOI: https://doi.org/10.4213/faa3110
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
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 2, Pages 152–156
DOI: https://doi.org/10.1007/s10688-013-0020-1
Bibliographic databases:
Document Type: Article
UDC: 519.217
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:66
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