15 citations · 29 across the 22 of their papers we have counts for
25 papers · 1 filter
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…
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…
Approximating the stationary distribution of the ASEP with open boundaries
Evita Nestoridi, Dominik Schmid
We investigate the stationary distribution of asymmetric and weakly asymmetric simple exclusion processes with open boundaries. We project the stationary distribution onto a subint…