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Rigorous lower bounds for extinction probabilities of the contact process

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Aidan Sudbury
Aidan Sudbury*
Affiliation:
Monash University
*
∗Postal address: School of Mathematical Sciences, Monash University, PO Box 28M, VIC 3800, Australia. Email address: [email protected]
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Abstract

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Positive correlations for extinction probabilities in the contact process are used to obtain rigorous lower bounds.

Keywords

Extinctioninfinite particle systemcontact process

MSC classification

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory
Type
Short Communications
Information
Journal of Applied Probability , Volume 42 , Issue 3 , September 2005 , pp. 902 - 904
Copyright
© Applied Probability Trust 2005 

References

Konno, N. (1994). Phase Transitions of Interacting Particle Systems. World Scientific, Singapore.Google Scholar
Liggett, T. M. (1985). Interacting Particle Systems. Springer, New York.Google Scholar
Sudbury, A. W. (2001). Rigorous lower bounds for the critical infection rate in the diffusive contact process. J. Appl. Prob. 38, 1074–1078.Google Scholar