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Dynamical stability of percolation for some interacting particle systems and ε-movability

Erik I. Broman, Jeffrey E. Steif

math.PRarXiv:math/0605641

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 ε-movability which will be a key tool for our analysis.

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