Hitting times for special patterns in the symmetric exclusion process on Zd

被引：0

作者：

Asselah, A

Pra, PD

机构：

[1] Univ Aix Marseille 1, Ctr Math & Informat, F-13453 Marseille 13, France

[2] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

来源：

ANNALS OF PROBABILITY | 2004年 / 32卷 / 04期

关键词：

quasistationary measures; attractive processes; hitting times; Yaglom limit; h process;

D O I：

10.1214/009117904000000487

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider the symmetric exclusion process {eta(t), t > 0} on {0,1}(Zd). We fix a pattern A := {eta: Sigma(Lambda) eta(i) greater than or equal to 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 less than or equal to t} conditioned on (T > t).

引用

页码：3301 / 3323

页数：23