cessation 发表于 2025-3-21 16:29:29

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自制 发表于 2025-3-21 20:17:41

Subadditivity and Its Ramifications,Every random walk on a finitely generated group Γ whose step distribution has a finite first moment — that is, such that .|..| < ., where |⋅| is the word metric norm — travels at a definite . (possibly 0).

GILD 发表于 2025-3-22 04:28:59

Entropy,In Chapter . we showed that the Liouville property is equivalent to triviality of the invariant .-algebra, and that this in turn is equivalent to weakly ergodicity of the underlying Markov chain. For random walks on finitely generated groups there is another equivalent condition.

Adenocarcinoma 发表于 2025-3-22 07:03:29

Steven P. LalleyFirst textbook devoted solely to random walks on infinite, nonabelian groups.Integrated treatment of measure-theoretic probability and random walk theory.First textbook to treat Kleiner’s approach to

CHURL 发表于 2025-3-22 08:58:07

978-3-031-25634-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

nurture 发表于 2025-3-22 12:53:49

Random Walks on Infinite Groups978-3-031-25632-5Series ISSN 0072-5285 Series E-ISSN 2197-5612

遭遇 发表于 2025-3-22 20:41:21

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修饰 发表于 2025-3-22 21:40:37

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myopia 发表于 2025-3-23 04:46:22

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丛林 发表于 2025-3-23 08:55:11

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