We study attractive nearest neighbor spin systems on the integers having "all 0's" and "all 1's" as traps. A necessary and sufficient condition for stability under small one-sided perturbations of the flip rates is established.
Publié le : 1982-02-14
Classification:
60 K 35,
Interacting particle systems,
nonergodicity,
contact processes,
percolation
@article{1176993914,
author = {Gray, Lawrence and Griffeath, David},
title = {A Stability Criterion for Attractive Nearest Neighbor Spin Systems on $\mathbb{Z}$},
journal = {Ann. Probab.},
volume = {10},
number = {4},
year = {1982},
pages = { 67-85},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993914}
}
Gray, Lawrence; Griffeath, David. A Stability Criterion for Attractive Nearest Neighbor Spin Systems on $\mathbb{Z}$. Ann. Probab., Tome 10 (1982) no. 4, pp. 67-85. http://gdmltest.u-ga.fr/item/1176993914/