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

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Bibliographic Details
Author / Creator:Ceccherini-Silberstein, Tullio.
Imprint:Cambridge : Cambridge University Press, 2008.
Description:1 online resource (xiii, 440 pages) : illustrations
Language:English
Series:Cambridge studies in advanced mathematics ; 108
Cambridge studies in advanced mathematics ; 108.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11813570
Hidden Bibliographic Details
Other authors / contributors:Scarabotti, Fabio.
Tolli, Filippo, 1968-
ISBN:9780511388811
0511388810
9780521883368
0521883369
051138498X
9780511384981
9780511619823
0511619820
Notes:Includes bibliographical references and index.
Print version record.
Summary:Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How many switches are needed in order to mix up the deck? 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. This detailed study culminates with the case-by-case analysis of the cut-off phenomenon discovered by Persi Diaconis. This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains. 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 the representation theory of the symmetric group.
Other form:Print version: Ceccherini-Silberstein, Tullio. Harmonic analysis on finite groups. Cambridge : Cambridge University Press, 2008 9780521883368 0521883369
Standard no.:9786611255046