Asymptotic aspects of Schreier graphs and Hanoi Towers groups
Group Theory
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0601592,
title = {Asymptotic aspects of Schreier graphs and Hanoi Towers groups},
author = {Rostislav Grigorchuk and Zoran Sunik},
journal= {arXiv preprint arXiv:math/0601592},
year = {2007}
}
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5 pages