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Asymptotic aspects of Schreier graphs and Hanoi Towers groups

Rostislav Grigorchuk·Zoran Sunik
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Abstract

We present relations between growth, growth of diameters and the rate of vanishing of the spectral gap in Schreier graphs of automaton groups. In particular, we introduce a series of examples, called Hanoi Towers groups since they model the well known Hanoi Towers Problem, that illustrate some of the possible types of behavior.

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Rostislav Grigorchuk, Zoran Sunik. 2006-01-30. Asymptotic aspects of Schreier graphs and Hanoi Towers groups. https://arxiv.org/abs/math/0601592

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