Preprint
Jul 2026
Hitting time mixing for random $k$-cycles
In this paper, we study the random walk on the symmetric group $\mathfrak{S}_n$ generated by the conjugacy class of $k$-cycles, where $2\le k=o(n/(\log n)^4)$. We prove that the walk exhibits hitting-time mixing: at the first time when every card has been touched, the distribution is already close to equilibrium. For o...
Chen Shang, Jiahe Shen, Jiyue Zeng et al.
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