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Cambridge Studies in Advanced Mathematics: Series Number 108

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Cambridge Studies in Advanced Mathematics: Series Number 108 by Tullio Ceccherini-Silberstein
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Description

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.

Author Biography

Tullio Ceccherini-Silberstein is Professor of Mathematical Analysis in the Department of Engineering at the Universita del Sannio, Benevento. Fabio Scarabotti is Professor of Mathematical Analysis in the Department of Mathematics at the Universita degli Studi di Roma 'La Sapienza'. Filippo Tolli is Assistant Professor of Mathematical Analysis in the Department of Mathematics at the Universita Roma Tre.
Release date Australia
March 6th, 2008
Country of Publication
United Kingdom
Illustrations
Worked examples or Exercises; 5 Tables, unspecified; 76 Line drawings, unspecified
Imprint
Cambridge University Press
Pages
454
Dimensions
160x234x25
ISBN-13
9780521883368
Product ID
2214645

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