Convergence rates of random walk on irreducible representations of finite groups

Jason Fulman

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arXiv · math/0607399

Convergence rates of random walk on irreducible representations of finite groups

Jason Fulman

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Abstract

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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Jason Fulman. 2006-10-18. Convergence rates of random walk on irreducible representations of finite groups. https://arxiv.org/abs/math/0607399

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