Bisection for kinetically constrained models revisited
Hartarsky, Ivailo (2021), Bisection for kinetically constrained models revisited, Electronic Communications in Probability, 26, p. 1-10. 10.1214/21-ECP434
TypeArticle accepté pour publication ou publié
Journal nameElectronic Communications in Probability
Institute of Mathematical Statistics
MetadataShow full item record
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)The bisection method for kinetically constrained models (KCM) of Cancrini, Martinelli, Roberto and Toninelli is a vital technique applied also beyond KCM. In this note we present a new way of performing it, based on a novel two-block dynamics with a probabilistic proof instead of the original spectral one. We illustrate the method by very directly proving an upper bound on the relaxation time of KCM like the one for the East model in a strikingly general setting. Namely, we treat KCM on finite or infinite one-dimensional volumes, with any boundary condition, conditioned on any of the irreducible components of the state space, with arbitrary site-dependent state spaces and, most importantly, arbitrary inhomogeneous rules.
Subjects / KeywordsKinetically constrained models; interacting particle systems; Glauber dynamics; Poincaré inequality; bisection
Showing items related by title and author.
Hartarsky, Ivailo; Marêché, Laure; Toninelli, Cristina (2020-06) Article accepté pour publication ou publié