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具有无限熵的随机漫步的柳维尔特性和泊松边界：出了什么问题？

IF 0.6 4区 数学 Q3 MATHEMATICS
Functional Analysis and Its Applications Pub Date : 2024-07-21 DOI:10.1134/S0016266324020060
Vadim Kaimanovich
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引用次数: 0

摘要

摘要 我们讨论了当阶跃分布的熵为无穷大时，群上随机游走的新性质。
本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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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来源期刊
Functional Analysis and Its Applications
Functional Analysis and Its Applications 数学-数学
CiteScore
0.90
自引率
0.00%
发文量
7
审稿时长
>12 weeks
期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.
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