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February, 1983 Supercritical Contact Processes on $Z$
Richard Durrett, David Griffeath
Ann. Probab. 11(1): 1-15 (February, 1983). DOI: 10.1214/aop/1176993655


In this paper we introduce a percolation construction which allows us to reduce problems about supercritical contact processes to problems about 1-dependent oriented percolation with density $p$ close to 1. Using this method we obtain a number of results about the growth of supercritical contact processes and the wet region in oriented percolation. As a corollary to our results we find that the critical probability for oriented site percolation is greater than (>) that for bond percolation.


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Richard Durrett. David Griffeath. "Supercritical Contact Processes on $Z$." Ann. Probab. 11 (1) 1 - 15, February, 1983.


Published: February, 1983
First available in Project Euclid: 19 April 2007

zbMATH: 0508.60080
MathSciNet: MR682796
Digital Object Identifier: 10.1214/aop/1176993655

Primary: 60K35
Secondary: 60F15

Keywords: Ceminusgammatee , contact processes , interacting particle systems , large deviations , Oriented percolation

Rights: Copyright © 1983 Institute of Mathematical Statistics

Vol.11 • No. 1 • February, 1983
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