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Amenability of automata groups

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I will discuss probabilistic methods of determining amenability of groups by studying random walks on them, specifically involving entropy of random walks and actions of the group. I will focus on application for automata groups. These are a class of groups of automorphisms of trees with self-similar actions, and include natural realizations of many interesting groups (self-similar, of intermediate growth, lamplighters, etc.)

This talk is part of the Probability series.

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