# A large deviations principle for the polar empirical measure in the two-dimensional symmetric simple exclusion process

## TL;DR

This paper establishes a large deviations principle for the polar empirical measure in a 2D symmetric simple exclusion process, providing key energy estimates and extending existing results to occupation times.

## Contribution

It introduces a novel energy estimate for the polar empirical measure and derives large deviations principles for it and the origin's occupation time.

## Key findings

- Energy estimate for the polar empirical measure
- Large deviations principle for the polar empirical measure
- Large deviations for the occupation time of the origin

## Abstract

We prove an energy estimate for the polar empirical measure of the two-dimensional symmetric simple exclusion process. We deduce from this estimate and from results in reference [2] large deviations principles for the polar empirical measure and for the occupation time of the origin.