"This book is, as far as I know, the first treatise fully devoted to finite Gel'fand pairs and their applications to probability and combinatories. ... It has lots of worked-out examples, and dozens of exercises (the solutions of which can be found in Appendix 2)."
Alain Valette, Mathematical Reviews
"This is the perfect group theory resource for probability theory students."
D.V. Feldman, University of New Hampshire for Choice Magazine
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.