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

Chih-Chung Chang, Claudio Landim, Tzong-Yow Lee

• 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 Υα(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.