Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains (Cambridge Studies in Advanced Mathematics)

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9780521883368: Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains (Cambridge Studies in Advanced Mathematics)

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.

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Book Description:

Line up a deck of 52 cards on a table. How many switches are needed in order to mix up the deck? This graduate-level book develops the mathematical tools to answer such questions, including the representation theory of finite groups, Markov chains, and the noncommutative version of the classical Fourier analysis.

About the Author:

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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Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Hardback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAA9780521883368

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Hardback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAA9780521883368

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Hardback. Book Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Bookseller Inventory # BTE9780521883368

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