We show that in one dimension, the contact process in a random environment has an "intermediate phase" in which it survives but does not grow linearly. We conjecture that this does not occur in dimensions $d > 1$.
Publié le : 1991-07-14
Classification:
Contact process,
random environment,
phase transition,
intermediate phase,
60K35
@article{1176990331,
author = {Bramson, Maury and Durrett, Rick and Schonmann, Roberto H.},
title = {The Contact Processes in a Random Environment},
journal = {Ann. Probab.},
volume = {19},
number = {4},
year = {1991},
pages = { 960-983},
language = {en},
url = {http://dml.mathdoc.fr/item/1176990331}
}
Bramson, Maury; Durrett, Rick; Schonmann, Roberto H. The Contact Processes in a Random Environment. Ann. Probab., Tome 19 (1991) no. 4, pp. 960-983. http://gdmltest.u-ga.fr/item/1176990331/