Asymptotic aspects of Schreier graphs and Hanoi Towers groups

Details Asymptotic aspects of Schreier graphs and Hanoi Towers groups Asymptotic aspects of Schreier graphs and Hanoi Towers groups

2006-01-24

arxiv.org/abs/math/0601592v2

Mathematics

Group Theory

5 pages

Scientific paper

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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