Infinite reversible nearest particle systems in inhomogeneous and random environments

Xijian Liu

Stochastic Processes and their Applications, 1991, vol. 38, issue 2, 295-322

Abstract: In this paper we prove that an infinite reversible nearest particle system in a random environment determined by i.i.d. random variables , survives almost surely if E log [lambda] (0) > 0 and dies out almost surely if E[lambda](0) 1.

Date: 1991
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