Harmonic Analysis on Finite Groups

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.

Author: Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Publisher: Cambridge University Press
Published: 03/01/2008
Pages: 456
Binding Type: Hardcover
Weight: 1.20lbs
Size: 9.00h x 5.90w x 1.10d
ISBN: 9780521883368

Review Citation(s):
Choice 07/01/2009

About the Author
Ceccherini-Silberstein, Tullio: - Tullio Ceccherini-Silberstein is Professor of Mathematical Analysis in the Department of Engineering at the Università del Sannio, Benevento.Scarabotti, Fabio: - Fabio Scarabotti is Professor of Mathematical Analysis in the Department of Mathematics at the Università degli Studi di Roma 'La Sapienza'.Tolli, Filippo: - Filippo Tolli is Assistant Professor of Mathematical Analysis in the Department of Mathematics at the Università Roma Tre.