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Mixing times of one-sided $k$-transposition shuffles
Evita Nestoridi, Kenny Peng, Bryan Wong · 2021-12-10 · via math.PR updates on arXiv.org

We study mixing times of the one-sided $k$-transposition shuffle. We prove that this shuffle mixes relatively slowly, even for $k$ big. Using the recent ``lifting eigenvectors'' technique of Dieker and Saliola and applying the $\ell^2$ bound, we prove different mixing behaviors and explore the occurrence of cutoff depending on $k$.

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