Harmonic Analysis on Finite Groups : Representation Theory, Gelfand Pairs and Markov Chains
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
0521883369
ISBN-13
9780521883368
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 6th, 2008
Print length
454 Pages
Weight
732 grams
Dimensions
15.70 x 23.30 x 2.90 cms
Ksh 18,550.00
Manufactured on Demand
0 in stock
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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.
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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