Regularity of quasi-stationary measures for simple exclusion in dimension d ≥ 5
成果类型：
Article
署名作者：
Asselah, A; Ferrari, PA
署名单位：
Aix-Marseille Universite; Universidade de Sao Paulo
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1039548376
发表日期：
2002
页码：
1913-1932
关键词：
摘要：
We consider the symmetric simple exclusion process on Z(d) for d greater than or equal to 5, and study the regularity of the quasi-stationary measures of the dynamics conditioned on not occupying the origin. For each rho is an element of]0, 1[, we establish uniqueness of the density of quasi-stationary measures in L-2(d(upsilonrho)), where upsilon(rho) is the stationary measure of density p. This, in turn, permits us to obtain sharp estimates for P-upsilonrho(tau > t), where tau is the first time the origin is occupied.