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arxiv: 0904.0047 · v1 · submitted 2009-04-01 · 🧮 math.GR · math.PR

Self-similarity and random walks

classification 🧮 math.GR math.PR
keywords groupsrandomself-similarwalksamenabilityanalysisapplicationsbranch
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This is an introductory level survey of some topics from a new branch of fractal analysis -- the theory of self-similar groups. We discuss recent works on random walks on self-similar groups and their applications to the problem of amenability for these groups.

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