Occupation time large deviations of two dimensional symmetric simple exclusion process
Resource
The Annals of Probability,32(1B),661-691.
Journal
The Annals of Probability
Pages
661-691
Date Issued
2004-06
Date
2004-06
Author(s)
Abstract
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 /log t and the rate function is given by γα(β) = (π/2){sin-1 (2β - 1) - sin-1(2α - 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.
SDGs
Type
journal article