15 citations · 29 across the 22 of their papers we have counts for
28 papers
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…
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…
Shuffling via sums of Jucys--Murphy Elements
Samira Arfaee, Evita Nestoridi
We consider a family of card shuffles of cards in which the allowed moves involve transpositions corresponding to the Jucys--Murphy elements of the symmetric group $\{S_m\}_{m…
Continuity for Limit Profiles of Reversible Markov Chains
Evita Nestoridi
We prove that the limit profile of a sequence of reversible Markov chains exhibiting total variation cutoff is a continuous function, under a computable condition involving the spe…
Cutoff for the Biased Random Transposition Shuffle
Evita Nestoridi, Alan Yan
In this paper, we study the biased random transposition shuffle, a natural generalization of the classical random transposition shuffle studied by Diaconis and Shahshahani. We diag…
Permutations from Random Walk
Peter E. Francis, Evita Nestoridi, Peter Winkler
Xavier and Yushi run a "random race" as follows. An atomless probability distribution on the real line is chosen. The runners begin at zero. At time Xavier draws $\mathbf{X…