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math.PR2025
Limit Profiles for Reversible Markov Chains
Evita Nestoridi, Sam Olesker-Taylor
In a recent breakthrough, Teyssier [Tey20] introduced a new method for approximating the distance from equilibrium of a random walk on a group. He used it to study the limit profil…
math.PR2025
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…
math.PR2025
The random walk on upper triangular matrices over
Evita Nestoridi, Allan Sly
We study a natural random walk on the upper triangular matrices, with entries in , generated by steps which add or subtract a uniformly random…