Separation probabilities for products of permutations

Details Separation probabilities for products of permutations Separation probabilities for products of permutations

2012-02-29

arxiv.org/abs/1202.6471v1

Mathematics

Combinatorics

Scientific paper

We study the mixing properties of permutations obtained as a product of two
uniformly random permutations of fixed cycle types. For instance, we give an
exact formula for the probability that elements $1,2,...,k$ are in distinct
cycles of the random permutation of $\{1,2,...,n\}$ obtained as product of two
uniformly random $n$-cycles.

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