Dynamical stability of percolation for some interacting particle systems and $\epsilon$-movability

Abstract

In this paper we will investigate dynamic stability of percolation for the stochastic Ising model and the contact process. We also introduce the notion of downward and upward $\epsilon$-movability which will be a key tool for our analysis.

Published at http://dx.doi.org/10.1214/009117905000000602 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)