Year: 2026
Type: preprint
Abstract: We study how a relaxed gradient estimate is enough to prove cutoff for several new families of Markov processes, within the varentropy framework of [Sal25]. In particular, we show how certain regularization estimates from hypocoercivity theory allow one to prove cutoff for kinetic dynamics. Moreover, we prove cutoff for some families of diffusions with non-convex potentials and for mean-field dynamics, as well as for biased random walks on the symmetric group, giving a simple proof of a far-reaching extension of a result of [NY24].
Source: arXiv (Cornell University)
Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Sorbonne Université, Laboratoire Jacques-Louis Lions, Laboratoire de Probabilités, Statistique et Modélisation, Institut Universitaire de France, Centre de Recherche en Mathématiques de la Décision, Université Paris Sciences et Lettres, Université Paris Dauphine-PSL
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223041930