Liouville Property and Poisson Boundary of Random Walks with Infinite Entropy: What’s Amiss?

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.

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Bibliographic Details
Published in:Functional analysis and its applications 2024-06, Vol.58 (2), p.160-181
Main Author: Kaimanovich, Vadim
Format: Article
Language:English
Subjects:
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Analysis
Entropy
Functional Analysis
Mathematics
Mathematics and Statistics
Random walk
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Description
Summary: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.
ISSN:0016-2663
1573-8485
DOI:10.1134/S0016266324020060