# Mixing times of one-sided $k$-transposition shuffles

@inproceedings{Nestoridi2021MixingTO, title={Mixing times of one-sided \$k\$-transposition shuffles}, author={Evita Nestoridi and Kenny Peng}, year={2021} }

Diagonalizing the transition matrix of a reversible Markov chain is extremely powerful when wanting to prove that the Markov chain exhibits the cutoff phenomenon. The first technique for diagonalizing the transition matrix of a random walk on the Caley graph of a finite group G was introduced by Diaconis and Shahshahani [2]. The technique, which relies on Schur’s lemma, requires understanding of the representation and character theory of G, and has been applied for many random walks on groups…

## One Citation

### Random Walks on the Generalized Symmetric Group: Cutoff for the One-sided Transposition Shuffle

- Mathematics
- 2022

. In this paper, we present a proof for the exhibition of a cutoﬀ for the one-sided transposition (OST) shuﬄe on the generalized symmetric group G m,n . Our work shows that based on techniques for m…

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