FINITE REVERSIBLE NEAREST PARTICLE-SYSTEMS IN INHOMOGENEOUS AND RANDOM-ENVIRONMENTS
成果类型：
Article
署名作者：
CHEN, D; LIGGETT, TM
署名单位：
Peking University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176989922
发表日期：
1992
页码：
152-173
关键词：
摘要：
In this article we propose and study finite reversible nearest particle systems in inhomogeneous and random environments. Using the Dirichlet principle and the ergodic theorem we prove that a finite reversible nearest particle system in a random environment determined by an i.i.d. sequence lambda(i) survives if E log lambda(i) > 0 and dies out if E-lambda(i) < 1. Some discussion is provided to show that both survival and extinction may happen when E log lambda(i) < 0 and E-lambda(i) > 1.