Abstract
We consider the symmetric simple exclusion process on , for , and study the regularity of the quasi-stationary measures of the dynamics conditioned on not occupying the origin. For each , we establish uniqueness of the density of quasi-stationary measures in , where is the stationary measure of density . This, in turn, permits us to obtain sharp estimates for , where is the first time the origin is occupied.
Citation
Amine Asselah. Pablo A. Ferrari. "Regularity of quasi-stationary measures for simple exlusion in dimension d≥5." Ann. Probab. 30 (4) 1913 - 1932, October 2002. https://doi.org/10.1214/aop/1039548376
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