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

Roberto Henrique Schonmann

doi:10.1214/aop/1176992087

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Home > Journals > Ann. Probab. > Volume 15 > Issue 3 > Article

July, 1987 Absence of a Stationary Distribution for the Edge Process of Subcritical Oriented Percolation in Two Dimensions

Roberto Henrique Schonmann

Ann. Probab. 15(3): 1146-1147 (July, 1987). DOI: 10.1214/aop/1176992087

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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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Roberto Henrique Schonmann. "Absence of a Stationary Distribution for the Edge Process of Subcritical Oriented Percolation in Two Dimensions." Ann. Probab. 15 (3) 1146 - 1147, July, 1987. https://doi.org/10.1214/aop/1176992087

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Published: July, 1987

First available in Project Euclid: 19 April 2007

zbMATH: 0645.60104

MathSciNet: MR893920

Digital Object Identifier: 10.1214/aop/1176992087

Subjects:

Primary: 60K35

Keywords: edge process , Oriented percolation , subcritical case

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Ann. Probab.

Vol.15 • No. 3 • July, 1987

Institute of Mathematical Statistics

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Roberto Henrique Schonmann "Absence of a Stationary Distribution for the Edge Process of Subcritical Oriented Percolation in Two Dimensions," The Annals of Probability, Ann. Probab. 15(3), 1146-1147, (July, 1987)

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