LARGE DEVIATIONS FOR THE OCCUPATION TIMES OF INDEPENDENT PARTICLE SYSTEMS
成果类型:
Article
署名作者:
Benois, O.
署名单位:
Universite de Rouen Normandie; Centre National de la Recherche Scientifique (CNRS)
刊物名称:
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN:
1050-5164
发表日期:
1996
页码:
269-296
关键词:
摘要:
We prove a large deviation principle for the density field of independent particle systems in an infinite volume. We then deduce from the one-dimensional case of this result the large deviations for the occupation times of various sets (from microscopic to macroscopic scales) and we recover the theorem established by Cox and Griffeath. An expression of the rate function is given using the Brownian motion local time as in Deuschel and Wang.