In this paper we introduce a percolation construction which allows us to reduce problems about supercritical contact processes to problems about 1-dependent oriented percolation with density $p$ close to 1. Using this method we obtain a number of results about the growth of supercritical contact processes and the wet region in oriented percolation. As a corollary to our results we find that the critical probability for oriented site percolation is greater than (>) that for bond percolation.
Publié le : 1983-02-14
Classification:
Contact processes,
interacting particle systems,
oriented percolation,
large deviations,
Ceminusgammatee,
60K35,
60F15
@article{1176993655,
author = {Durrett, Richard and Griffeath, David},
title = {Supercritical Contact Processes on $Z$},
journal = {Ann. Probab.},
volume = {11},
number = {4},
year = {1983},
pages = { 1-15},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993655}
}
Durrett, Richard; Griffeath, David. Supercritical Contact Processes on $Z$. Ann. Probab., Tome 11 (1983) no. 4, pp. 1-15. http://gdmltest.u-ga.fr/item/1176993655/