000			01679nam a22002657a 4500
999			_c54775 _d54775
008			210321b ||||| |||| 00| 0 eng d
020			_a9780521883368
082			_a515.2433 _bSIL
100			_aCeccherini-Silberstein, Tullio
245			_aHarmonic analysis on finite groups
260			_aCambridge: _bCambridge University Press, _c2008.
300			_axiii, 440 p. : ill. ; _bhb, _c24 cm.
365			_aGBP _b79.00
440			_aCambridge studies in advanced mathematics ; 108
504			_aFormerly CIP. Includes bibliographical references and index.
520			_aLine 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.
650			_aHarmonic analysis
650			_aFinite groups
650			_aAbelian group
650			_aFinite gelfand pairs
650			_aHamming scheme
700			_aScarabotti, Fabio
700			_aTolli, Filippo
942			_cTD