Occupation time large deviations of two-dimensional symmetric simple exclusion process

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.