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Asymptotic aspects of Schreier graphs of self-similar groups

Presented by: 
Z Sunik [Texas A&M]
Date: 
Friday 26th January 2007 - 11:00 to 12:00
Venue: 
INI Seminar Room 1
Abstract: 

We consider Schreier graphs of actions of self-similar groups and present relations between their asymptotic properties, such as volume growth, growth of diameters, rate of vanishing of the spectral gap, etc. Among the examples illustrating the possible types of behavior we consider Hanoi Towers groups, Baumslag-Solitar groups, lamplighters, Basilica group, Bellaterra group, etc.

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons