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

Asselah, Amine; Ferrari, Pablo A.

Ann. Probab., Tome 30 (2002) no. 1, p. 1913-1932 / Harvested from Project Euclid

Résumé

We consider the symmetric simple exclusion process on $\ZZ^d$, for $d\geq 5$, and study the regularity of the quasi-stationary measures of the dynamics conditioned on not occupying the origin. For each $\rho\in ]0,1[$, we establish uniqueness of the density of quasi-stationary measures in $L^2(d\nur)$, where $\nur$ is the stationary measure of density $\rho$. This, in turn, permits us to obtain sharp estimates for $P_{\nur}(\tau>t)$, where $\tau$ is the first time the origin is occupied.

Publié le : 2002-10-14
Classification: Quasi-stationary measures, exchange processes, hitting time, Yaglom limit, 60K35, 82C22, 60J25

@article{1039548376,
     author = {Asselah, Amine and Ferrari, Pablo A.},
     title = {Regularity of quasi-stationary measures for simple exlusion in dimension d$\geq$5},
     journal = {Ann. Probab.},
     volume = {30},
     number = {1},
     year = {2002},
     pages = { 1913-1932},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1039548376}
}

Asselah, Amine; Ferrari, Pablo A. Regularity of quasi-stationary measures for simple exlusion in dimension d≥5. Ann. Probab., Tome 30 (2002) no. 1, pp.  1913-1932. http://gdmltest.u-ga.fr/item/1039548376/