8 papers
Normal curvature of immersed tori of dimension at most
Matteo Raffaelli
We prove that if the -dimensional torus is smoothly immersed in the unit ball and , then there exists a point at which the spherical aver…
Mixing times of one-sided -transposition shuffles
Evita Nestoridi, Kenny Peng, Bryan Wong
We study mixing times of the one-sided -transposition shuffle. We prove that this shuffle mixes relatively slowly, even for big. Using the recent ``lifting eigenvectors'' te…
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…
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…
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…
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…