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math.PR2026
Hitting-time mixing for the star transposition shuffle
Vanshika Jain, Evita Nestoridi
We prove a hitting-time analogue of cutoff for the star transposition shuffle on the symmetric group S_n. Let tau be the first time at which every non-top card has been selected. W…
math.PR2026
Limit Profiles for Separation Distance
Peter E. Francis, Evita Nestoridi
This paper studies limit profiles for the separation distance. A limit profile records the limiting shape of the distance to stationarity inside the cutoff window, at times of the…