• Corpus ID: 245005984

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… 

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

. 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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