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Separation cutoffs for random walk on irreducible representations

Jason Fulman
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Abstract

Random walk on the irreducible representations of the symmetric and general linear groups is studied. A separation distance cutoff is proved and the exact separation distance asymptotics are determined. A key tool is a method for writing the multiplicities in the Kronecker tensor powers of a fixed representation as a sum of non-negative terms. Connections are made with the Lagrange-Sylvester interpolation approach to Markov chains.

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Jason Fulman. 2007-03-10. Separation cutoffs for random walk on irreducible representations. https://arxiv.org/abs/math/0703291

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