Short time conservation of Gibbsianness under local stochastic evolutions
type: Item
instance of: scholarly article
title: Short time conservation of Gibbsianness under local stochastic evolutions
zbMATH Open document ID: 1015.60097
DOI: 10.1023/A:1020428711181
author: Arnaud Le Ny
author: F. Redig
published in: Journal of Statistical Physics
publication date: 2003-03-11T00:00:00Z
review text: The evolution of a Gibbs measure under a stochastic dynamics may lead to non-Gibbsian measures as opposed to standard results on high-temperature (spin-flip) Glauber dynamics. Then, any initial measure is driven exponentially fast to the unique stationary (Gibbs) measure The paper generalizes previous results for Glauber dynamics [\textit{A. C. D. van Euter}, \textit{R. Fernández}, \textit{F. den Hollander} and \textit{F. Redig}, Commun. Math. Phys. 226, No. 1, 101-130 (2002; Zbl 0990.82018)]. It is proved that a Gibbs measure with a finite range interaction, evolving under a general reversible local stochastic dynamics, remains Gibbsian for a short interval of time.
reviewed by: Piotr Garbaczewski
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60A10
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 82C43
zbMATH DE Number: 1879674
zbMATH Keywords: Gibbs measure
zbMATH Keywords: Feller process
zbMATH Keywords: Kawasaki dynamics
zbMATH Keywords: Glauber dynamics
zbMATH Keywords: weakly interacting systems
zbMATH Keywords: Girsanov formula
zbMATH Keywords: spin systems
MaRDI profile type: Publication
full work available at URL: a:1020428711181
OpenAlex ID: W1672717195
description: scientific article; zbMATH DE number 1879674