Occupation time large deviations of two-dimensional symmetric simple exclusion process
成果类型：
Article
署名作者：
Chang, CC; Landim, C; Lee, TY
署名单位：
National Taiwan University; Universite de Rouen Normandie; Centre National de la Recherche Scientifique (CNRS)
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
2004
页码：
661-691
关键词：
摘要：
We prove a large deviations principle for the occupation time of a site in the two-dimensional symmetric simple exclusion process. The decay probability rate is of order t/logt and the rate function is given by Y-alpha(beta) = (pi/2){sin(-1)(2beta - 1) - sin(-1) (2alpha - 1))(2). The proof relies on a large deviations principle for the polar empirical measure which contains an interesting log scale spatial average. A contraction principle permits us to deduce the occupation time large deviations from the large deviations for the polar empirical measure.