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6 papers · 2 filters
On cutoff via rigidity for high dimensional curved diffusions
Djalil Chafaï, Max Fathi
We consider overdamped Langevin diffusions in Euclidean space, with curvature equal to the spectral gap. This includes the Ornstein-Uhlenbeck process as well as non-Gaussian and no…
Quasi-continuity method for mean-field diffusions: large deviations and central limit theorem
Louis-Pierre Chaintron
A pathwise large deviation principle in the Wasserstein topology and a pathwise central limit theorem are proved for the empirical measure of a mean-field system of interacting dif…
Cutoff phenomenon for asymmetric zero range process with monotone rates
Ons Rameh
We investigate the mixing time of the asymmetric Zero Range process on the segment with a non-decreasing rate. We show that the cutoff holds in the totally asymmetric case with a c…
Conformally invariant boundary arcs in double dimers
Marcin Lis, Lucas Rey, Kieran Ryan
We consider two different versions of the double dimer model on a planar domain, where we either fold a single dimer cover on a symmetric domain onto itself across the line of symm…
On joint returns to zero of Bessel processes
Quentin Berger, Loïc Béthencourt, Camille Tardif
In this article, we consider joint returns to zero of Bessel processes (): our main goal is to estimate the probability that they avoid having joint returns to zero fo…
Local limit of massive spanning forests on the complete graph
Matteo D'Achille, Nathanaël Enriquez, Paul Melotti
We identify the local limit of massive spanning forests on the complete graph. This generalizes a well-known theorem of Grimmett on the local limit of uniform spanning trees on the…