Asymptotic aspects of Schreier graphs and Hanoi Towers groups

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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.
5 pages

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Group Theory, 20F69

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http://salesiana.dossiersoluciones.com/handle/123456789/107680

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601592
 http://arxiv.org/abs/math/0601592

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arXiv