Hitting times for special patterns in the symmetric exclusion process on Z^d
Asselah, Amine ; Pra, Paolo Dai
arXiv, 0309182 / Harvested from arXiv
Text on arXiv
We consider the symmetric exclusion process {\eta_t,t>0} on {0,1}^{Z^d}. We fix a pattern A:={\eta:\sum_{\Lambda}\eta(i)\ge k}, where \Lambda is a finite subset of Z^d and k is an integer, and we consider the problem of establishing sharp estimates for \tau, the hitting time of A. We present a novel argument based on monotonicity which helps in some cases to obtain sharp tail asymptotics for \tau in a simple way. Also, we characterize the trajectories {\eta_s,s\le t} conditioned on {\tau>t}.
Publié le : 2003-09-10
Classification:  Mathematics - Probability,  Mathematical Physics,  60K35, 82C22, 60J25. (Primary) 
@article{0309182,
     author = {Asselah, Amine and Pra, Paolo Dai},
     title = {Hitting times for special patterns in the symmetric exclusion process on
  Z^d},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309182}
}

Asselah, Amine; Pra, Paolo Dai. Hitting times for special patterns in the symmetric exclusion process on
  Z^d. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309182/