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April, 1995 Intermediate Phase for the Contact Process on a Tree
Rick Durrett, Rinaldo Schinazi
Ann. Probab. 23(2): 668-673 (April, 1995). DOI: 10.1214/aop/1176988283

Abstract

We show that in between the two critical values for the contact process on trees, there are infinitely many extremal nontranslation invariant stationary distributions. This conclusion is reminiscent of results of Grimmett and Newman for percolation on the product of a tree with the integers where there is an intermediate phase with infinitely many infinite clusters.

Citation

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Rick Durrett. Rinaldo Schinazi. "Intermediate Phase for the Contact Process on a Tree." Ann. Probab. 23 (2) 668 - 673, April, 1995. https://doi.org/10.1214/aop/1176988283

Information

Published: April, 1995
First available in Project Euclid: 19 April 2007

zbMATH: 0830.60093
MathSciNet: MR1334165
Digital Object Identifier: 10.1214/aop/1176988283

Subjects:
Primary: 60K35

Keywords: contact process , intermediate phase , non-translation invariant , stationary distributions

Rights: Copyright © 1995 Institute of Mathematical Statistics

Vol.23 • No. 2 • April, 1995
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