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

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

2006-05-24

arxiv.org/abs/math/0605641v1

Annals of Probability 2006, Vol. 34, No. 2, 539-576

Mathematics

Probability

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

Scientific paper

10.1214/009117905000000602

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.

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