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math.PR2024
Limit Profile for Projections of Random Walks on Groups
Evita Nestoridi, Sam Olesker-Taylor
Establishing cutoff, an abrupt transition from "not mixed" to "well mixed", is a classical topic in the theory of mixing times for Markov chains. Interest has grown recently in det…
math.PR2024
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…
math.PR2024
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…