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Fractal Geometry and Stochastics IVSelf-similarity and Random Walks

Fractal Geometry and Stochastics IV: Self-similarity and Random Walks [This is an introductory level survey of some topics from a new branch of fractal analysis — the theory of self-similar groups. We discuss recent works on random walks on self-similar groups and their applications to the problem of amenability for these groups.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Fractal Geometry and Stochastics IVSelf-similarity and Random Walks

Part of the Progress in Probability Book Series (volume 61)
Editors: Bandt, Christoph; Zähle, Martina; Mörters, Peter

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References (97)

Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2009
ISBN
978-3-0346-0029-3
Pages
45 –70
DOI
10.1007/978-3-0346-0030-9_2
Publisher site
See Chapter on Publisher Site

Abstract

[This is an introductory level survey of some topics from a new branch of fractal analysis — the theory of self-similar groups. We discuss recent works on random walks on self-similar groups and their applications to the problem of amenability for these groups.]

Published: Dec 30, 2009

Keywords: 20E22; 43A07; 60J05; Self-similar group; random walk; amenability; entropy

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