Improved bounds for the mixing time of the random-to-random insertion shuffle

Ben Morris; Chuan Qin

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arXiv · 1412.0070

Improved bounds for the mixing time of the random-to-random insertion shuffle

Ben Morris·Chuan Qin

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Abstract

We prove an upper bound of $1.5324 n \log n$ for the mixing time of the random-to-random insertion shuffle, improving on the best known upper bound of $2 n \log n$. Our proof is based on the analysis of a non-Markovian coupling.

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Ben Morris, Chuan Qin. 2014-11-29. Improved bounds for the mixing time of the random-to-random insertion shuffle. https://arxiv.org/abs/1412.0070

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