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Large deviations for infinite dimensional and reversible reaction-diffusion processes

Large deviations for infinite dimensional and reversible reaction-diffusion processes In this paper we obtain the large deviation principle for the empirical distribution of an infinite dimensional and reversible reaction-diffusion process, which is a Markov process with a non-compact state space. We show that thrate function is good, i.e., it has compact level sets, hence is nondegenerate. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Large deviations for infinite dimensional and reversible reaction-diffusion processes

Acta Mathematicae Applicatae Sinica , Volume 12 (3) – Jul 14, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1996 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02011895
Publisher site
See Article on Publisher Site

Abstract

In this paper we obtain the large deviation principle for the empirical distribution of an infinite dimensional and reversible reaction-diffusion process, which is a Markov process with a non-compact state space. We show that thrate function is good, i.e., it has compact level sets, hence is nondegenerate.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 14, 2005

References