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Stochastic growth models: bounds on critical values

Part of: Equilibrium statistical mechanics Special processes

Published online by Cambridge University Press:  14 July 2016

R. Durrett
R. Durrett*
Affiliation:
Cornell University
*
∗ Postal address: Department of Mathematics, Cornell University, White Hall, Ithaca, NY 14853–7901, USA.
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Abstract

We give upper bounds on the critical values for oriented percolation and some interacting particle systems by computing their behavior on small finite sets.

Keywords

ORIENTED PERCOLATIONCONTACT PROCESSPHASE TRANSITION

MSC classification

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory
Secondary: 82B05: Classical equilibrium statistical mechanics (general)
Type
Research Papers
Information
Journal of Applied Probability , Volume 29 , Issue 1 , March 1992 , pp. 11 - 20
Copyright
Copyright © Applied Probability Trust 1992 

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