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arXiv · 1910.00770

A strong stationary time for random transpositions

Graham White
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Abstract

We show that the random transposition walk on the symmetric group $S_n$ has cutoff in separation distance at $\frac{1}{2}n \log n$, by constructing a strong stationary time. The construction involves working with cycle types of permutations and some partition combinatorics.

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Graham White. 2019-10-02. A strong stationary time for random transpositions. https://arxiv.org/abs/1910.00770

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