比率极限和马丁边界

IF 0.9 3区数学 Q2 MATHEMATICS

Documenta Mathematica Pub Date : 2021-04-23 DOI:10.4171/dm/847

W. Woess

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引用次数: 2

摘要

考虑一个满足比值极限定理的不可约马尔可夫链，设ρ为链的谱半径。研究了ρ -Martin边界与比值极限中出现的ρ -调和核所诱导的边界的关系。特别强调非服从群的随机漫步，特别是自由群和双曲群。

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Ratio limits and Martin boundary

Consider an irreducible Markov chain which satisfies a ratio limit theorem, and let ρ be the spectral radius of the chain. We investigate the relation of the the ρ -Martin boundary with the boundary induced by the ρ -harmonic kernel which appears in the ratio limit. Special emphasis is on random walks on non-amenable groups, specifically, free groups and hyperbolic groups.

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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.