Harmonic Analysis on Finite Groups
Representation Theory, Gelfand Pairs and Markov Chains
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Harmonic Analysis on Finite Groups by Tullio Ceccherini-Silberstein
Book DescriptionLine 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.
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Book DetailsISBN: 9780521883368
(228mm x 152mm x 25mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 6-Mar-2008
Country of Publication: United Kingdom
Books By Author Tullio Ceccherini-Silberstein
Groups, Graphs and Random Walks, Paperback (March 2017)
An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.
Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups, Paperback (January 2014)
A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.
Representation Theory of the Symmetric Groups, Hardback (February 2010)» View all books by Tullio Ceccherini-Silberstein
A self-contained introduction to the representation theory of the symmetric groups, including an exhaustive exposition of the Okounkov-Vershik approach.
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Author Biography - Tullio Ceccherini-Silberstein
Tullio Ceccherini-Silberstein is Professor of Mathematical Analysis in the Department of Engineering at the Universit... del Sannio, Benevento. Fabio Scarabotti is Professor of Mathematical Analysis in the Department of Mathematics at the Universit... degli Studi di Roma 'La Sapienza'. Filippo Tolli is Assistant Professor of Mathematical Analysis in the Department of Mathematics at the Universit... Roma Tre.
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