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Harmonic Analysis on Finite Groups (Cambridge Studies in Advanced Mathematics #108) (Hardcover)


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Harmonic Analysis on Finite Groups (Cambridge Studies in Advanced Mathematics #108) Cover Image


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.
Product Details
ISBN: 9780521883368
ISBN-10: 0521883369
Publisher: Cambridge University Press
Publication Date: March 1st, 2008
Pages: 456
Language: English
Series: Cambridge Studies in Advanced Mathematics