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Harmonic analysis on finite groups: representation theory, Gelfand pairs and Markov chains

Name: Harmonic analysis on finite groups: representation theory, Gelfand pairs and Markov chains
ISBN: 9780521883368

Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli

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Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space, this book develops the necessary tools for the asymptotic analysis of these processes. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random matchings, and a presentation of the presentation theory of the symmetric group. This self-contained, detailed study culminates with case-by-case analyses of the cut-off phenomenon discovered by Persi Diaconis.

种类:

Mathematics

年:

2008

出版:

出版社:

Cambridge University Press

语言:

english

页:

456

ISBN 10: