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

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 th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ceccherini-Silberstein, Tullio
Otros Autores: Scarabotti, Fabio, Tolli, Filippo, 1968-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2008.
Colección:Cambridge studies in advanced mathematics ; 108.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Harmonic analysis on finite groups :  |b representation theory, Gelfand pairs and Markov chains /  |c Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2008. 
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490 1 |a Cambridge studies in advanced mathematics ;  |v 108 
504 |a Includes bibliographical references and index. 
505 0 |a 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. 
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520 |a 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. 
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