## The Annals of Probability

### Occupation Time Large Deviations for the Symmetric Simple Exclusion Process

C. Landim

#### Abstract

We obtain the decay rate of the large deviation probabilities of occupation time for the symmetric simple exclusion process. Furthermore, in dimension $d \neq 2$, we prove a large deviation principle for the occupation time. To obtain these results, we prove hydrodynamical limits for the weakly asymmetric simple exclusion process and we prove a large deviation principle for the empirical density for the symmetric simple exclusion process.

#### Article information

Source
Ann. Probab., Volume 20, Number 1 (1992), 206-231.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176989925

Digital Object Identifier
doi:10.1214/aop/1176989925

Mathematical Reviews number (MathSciNet)
MR1143419

Zentralblatt MATH identifier
0751.60098

JSTOR