Regularity of quasi-stationary measures for simple exclusion in dimension d ≥ 5 Amine

@inproceedings{Ferrari2001RegularityOQ,
title={Regularity of quasi-stationary measures for simple exclusion in dimension d ≥ 5 Amine},
author={Pablo A. Ferrari},
year={2001}
}

We consider the symmetric simple exclusion process on Z, for d ≥ 5, and study the regularity of the quasi-stationary measures of the dynamics conditionned on not occupying the origin. For each ρ ∈]0, 1[, we establish uniqueness of the density of quasi-stationary measures in L(dνρ), where νρ is the stationary measure of density ρ. This, in turn, permits us to obtain sharp estimates for Pνρ(τ > t), where τ is the first time the origin is occupied.