# Dynamical Stability of Percolation for Some Interacting Particle Systems and $\epsilon$--Stability Journal article, 2006

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 downwards and upwards $\epsilon$-- stability which will be a key tool for our analysis.

percolation

stochastic Ising models

contact process

## Author

Chalmers

### Jeffrey Steif

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

#### Annals of Probability

0091-1798 (ISSN)

Vol. 34 2 539-576

### Subject Categories

Other Mathematics

### DOI

10.1214/009117905000000602