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math.PR2026
Cutoff for the Adjacent Transposition Shuffle on a Cycle
Colin Defant
In the adjacent transposition shuffle on a cycle, distinct cards are placed at the vertices of a cycle, and adjacent cards swap positions according to independent Poisson clock…
math.PR2026
Proof of the Lyons--White Conjecture
Colin Defant, Ken Ono
Let be the dihedral group of order . Consider a continuous-time random walk on driven by arbitrary symmetric rates whose support generates . For $p\in[1,\infty…