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Funktsional'nyi Analiz i ego Prilozheniya, 2024, Volume 58, Issue 2, Pages 72–99
DOI: https://doi.org/10.4213/faa4191 (Mi faa4191) 		 
Liouville property and poisson boundary of random walks with infinite entropy: what's amiss?

Vadim Kaimanovich

Department of Mathematics and Statistics, University of Ottawa, Canada
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DOI: https://doi.org/10.4213/faa4191
Abstract: We discuss the qualitatively new properties of random walks on groups that arise in the situation when the entropy of the step distribution is infinite.
Keywords: random walk, asymptotic entropy, Liouville property, Poisson boundary.
Received: 30.12.2023
Accepted: 18.01.2024
Published: 30.04.2024
English version:
Functional Analysis and Its Applications, 2024, Volume 58, Issue 2, Pages 160–181
DOI: https://doi.org/10.1134/S0016266324020060
Bibliographic databases:
Document Type: Article
MSC: 28D20, 37A50, 43A07, 60J50
Language: Russian
Citation: Vadim Kaimanovich, “Liouville property and poisson boundary of random walks with infinite entropy: what's amiss?”, Funktsional. Anal. i Prilozhen., 58:2 (2024), 72–99; Funct. Anal. Appl., 58:2 (2024), 160–181
Citation in format AMSBIB
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