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Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains (Cambridge Studies in Advanced Mathematics, Series Number 108)
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ISBN: 0521883369
Author: Ceccherini-Silberstein, Tullio
Condition: New
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 Greens 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.
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Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains (Cambridge Studies in Advanced Mathematics, Series Number 108)