Open Access
July, 1991 The Contact Processes in a Random Environment
Maury Bramson, Rick Durrett, Roberto H. Schonmann
Ann. Probab. 19(3): 960-983 (July, 1991). DOI: 10.1214/aop/1176990331

Abstract

We show that in one dimension, the contact process in a random environment has an "intermediate phase" in which it survives but does not grow linearly. We conjecture that this does not occur in dimensions $d > 1$.

Citation

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Maury Bramson. Rick Durrett. Roberto H. Schonmann. "The Contact Processes in a Random Environment." Ann. Probab. 19 (3) 960 - 983, July, 1991. https://doi.org/10.1214/aop/1176990331

Information

Published: July, 1991
First available in Project Euclid: 19 April 2007

zbMATH: 0739.60062
MathSciNet: MR1112403
Digital Object Identifier: 10.1214/aop/1176990331

Subjects:
Primary: 60K35

Keywords: contact process , intermediate phase , phase transition , random environment

Rights: Copyright © 1991 Institute of Mathematical Statistics

Vol.19 • No. 3 • July, 1991
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