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W. Ding, R. Durrett, T. Liggett (1990)
Ergodicity of reversible reaction diffusion processesProbability Theory and Related Fields, 85
A. Acosta (1985)
Upper bounds for large deviations of dependent random vectorsZeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, 69
J.D. Deuschel, D.W. Stroock (1989)
Large Deviations
M. Chen (1991)
UNIQUENESS OF REACTION DIFFUSION PROCESSES
D. Stroock (1984)
An Introduction to the Theory of Large Deviations
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.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 14, 2005
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