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

Author: Tullio Ceccherini-Silberstein; Fabio Scarabotti; Filippo Tolli
Publisher: Cambridge : Cambridge University Press, 2008.
Series: Cambridge studies in advanced mathematics, 108.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ceccherini-Silberstein, Tullio.
Harmonic analysis on finite groups.
Cambridge : Cambridge University Press, 2008
(OCoLC)166357698
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Tullio Ceccherini-Silberstein; Fabio Scarabotti; Filippo Tolli
ISBN: 9780511388811 0511388810 9780521883368 0521883369 051138498X 9780511384981
OCLC Number: 227801452
Description: 1 online resource (xiii, 440 pages) : illustrations.
Contents: Finite Markov chains --
Two basic examples on abelian groups --
Basic representation theory of finite groups --
Finite Gelfand pairs --
Distance regular graphs and the Hamming scheme --
The Johnson scheme and the Bernoulli-Laplace diffusion model --
The ultrametric space --
Posets and the q-analogs --
Complements of representation theory --
Basic representation theory of the symmetric group --
The Gelfand pair and random matchings.
Series Title: Cambridge studies in advanced mathematics, 108.
Responsibility: Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.

Abstract:

Self-contained text, ideal for graduate students new to the area and researchers.  Read more...

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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 Read more...

 
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