Year: 2026
Type: preprint
Abstract: In the adjacent transposition shuffle on a cycle, $n$ distinct cards are placed at the vertices of a cycle, and adjacent cards swap positions according to independent Poisson clocks of rate 1. We prove that this Markov chain exhibits total variation cutoff at time $n^2\log n/(8π^2)$, with a window of order at most $n^2\log\log n$.
Source: arXiv (Cornell University)
Author: Defant, Colin
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215050155