The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited

Autor:	Cyril Roberto, Fabio Martinelli, Nicoletta Cancrini
Rok vydání:	2002
Předmět:	Statistics and Probability Physical point Logarithm Geometry Canonical measure Sobolev space symbols.namesake Lattice (order) symbols Spectral gap Statistics Probability and Uncertainty Gibbs measure Mathematics Mathematical physics
Zdroj:	Annales de l'Institut Henri Poincare (B) Probability and Statistics. 38:385-436
ISSN:	0246-0203
DOI:	10.1016/s0246-0203(01)01096-2
Popis:	We consider a conservative stochastic spin exchange dynamics reversible with respect to the canonical Gibbs measure of a lattice gas model. We assume that the corresponding grand canonical measure satisfies a suitable strong mixing condition. Following previous work by two of us for the spectral gap, we provide an alternative and quite natural, from the physical point of view, proof of the well known result of Yau stating that the logarithmic Sobolev constant in a box of side L grows like L 2 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e5ef0cd293a899be61616e43dd1d983 https://doi.org/10.1016/s0246-0203(01)01096-2 Zobrazit plný text záznamu