The Annals of Probability

Absence of a Stationary Distribution for the Edge Process of Subcritical Oriented Percolation in Two Dimensions

Roberto Henrique Schonmann
Source: Ann. Probab. Volume 15, Number 3 (1987), 1146-1147.

Abstract

We prove that the edge process of oriented percolation in two dimensions does not have a stationary distribution in the subcritical case.

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Primary Subjects: 60K35
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aop/1176992087
JSTOR: links.jstor.org
Digital Object Identifier: doi:10.1214/aop/1176992087
Mathematical Reviews number (MathSciNet): MR893920
Zentralblatt MATH identifier: 0645.60104


2012 © Institute of Mathematical Statistics

The Annals of Probability

The Annals of Probability