FINITE REVERSIBLE NEAREST PARTICLE-SYSTEMS IN INHOMOGENEOUS AND RANDOM-ENVIRONMENTS

被引：1

作者：

CHEN, D ^{[1
]}

LIGGETT, TM ^{[1
]}

机构：

[1] BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA

来源：

ANNALS OF PROBABILITY | 1992年 / 20卷 / 01期

关键词：

NEAREST PARTICLE SYSTEMS; RANDOM ENVIRONMENT; SURVIVAL; DIRICHLET PRINCIPLE;

D O I：

10.1214/aop/1176989922

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：

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.

引用

页码：152 / 173

页数：22

共 48 条

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