Large deviations for infinite dimensional and reversible reaction-diffusion processes
type: Item
instance of: scholarly article
title: Large deviations for infinite dimensional and reversible reaction-diffusion processes
zbMATH Open document ID: 0924.60056
DOI: 10.1007/BF02011895
author: Jinwen Chen
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1999-11-08T00:00:00Z
review text: The paper deals with the large deviations for reversible reaction-diffusion processes. One may refer to the book [``From Markov chains to non-equilibrium particle systems'' (1992; Zbl 0753.60055)] by the reviewer for a description of the model and also for the present status of the study and related references. It is known that the process under consideration is ergodic. The author further proves that the standard large deviation principle (for the imperial distributions) holds for the model. The main method used in the paper is the martingale approach. Some nice estimates are presented. A key in the work is the construction of a particular function bounded below with compact level sets.
Mathematics Subject Classification ID: 60J25
zbMATH DE Number: 1281429
zbMATH Keywords: large deviation
zbMATH Keywords: particle systems
zbMATH Keywords: reaction-diffusion process measure
reviewed by: Mu-Fa Chen
MaRDI profile type: Publication
cites work: Infinite dimensional reaction-diffusion processes
cites work: Uniqueness of reaction diffusion processes
cites work: Upper bounds for large deviations of dependent random vectors
cites work: Ergodicity of reversible reaction diffusion processes
cites work: An introduction to the theory of large deviations
full work available at URL: https://doi.org/10.1007/bf02011895
OpenAlex ID: W2055081928
description: scientific article; zbMATH DE number 1281429