English

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

Probability 2014-12-02 v1

Abstract

We prove an upper bound of 1.5324nlogn1.5324 n \log n for the mixing time of the random-to-random insertion shuffle, improving on the best known upper bound of 2nlogn2 n \log n. Our proof is based on the analysis of a non-Markovian coupling.

Keywords

Cite

@article{arxiv.1412.0070,
  title  = {Improved bounds for the mixing time of the random-to-random insertion shuffle},
  author = {Ben Morris and Chuan Qin},
  journal= {arXiv preprint arXiv:1412.0070},
  year   = {2014}
}

Comments

7 pages, 1 figure