Convergence rates of random walk on irreducible representations of finite groups

Details Convergence rates of random walk on irreducible representations of finite groups Convergence rates of random walk on irreducible representations of finite groups

2006-07-18

arxiv.org/abs/math/0607399v2

Mathematics

Probability

The main change is an expanded discussion of motivation of these random walks (requested by a referee). A connection with quan

Scientific paper

Random walk on the set of irreducible representations of a finite group is investigated. For the symmetric and general linear groups, a sharp convergence rate bound is obtained and a cutoff phenomenon is proved. As related results, an asymptotic description of Plancherel measure of the finite general linear groups is given, and a connection of these random walks with quantum computing is noted.

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