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arXiv · 0901.4278

Note: Random-to-front shuffles on trees

Anders Björner
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Abstract

A Markov chain is considered whose states are orderings of an underlying fixed tree and whose transitions are local "random-to-front" reorderings, driven by a probability distribution on subsets of the leaves. The eigenvalues of the transition matrix are determined using Brown's theory of random walk on semigroups.

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Anders Björner. 2009-01-27. Note: Random-to-front shuffles on trees. https://arxiv.org/abs/0901.4278

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