Consider an inhomogeneous contact process on Z
1
in which the recovery rates $\delta(x)$ at site x are i.i.d. random
variables (bounded above) while the infection rate is a constant $\varepsilon$.
The condition $u\mathbf{P}(-\log \varepsilon(x) > u) \to = \infty$ as
$u \to = \infty$ implies the survival of the process for every
$\varepsilon > 0$.
Publié le : 1996-01-14
Classification:
Contact process,
random environment,
survival,
directed percolation,
oriented percolation,
60K35
@article{1042644723,
author = {Newman, Charles M. and Volchan, Sergio B.},
title = {Persistent survival of one-dimensional contact processes in
random environments},
journal = {Ann. Probab.},
volume = {24},
number = {2},
year = {1996},
pages = { 411-421},
language = {en},
url = {http://dml.mathdoc.fr/item/1042644723}
}
Newman, Charles M.; Volchan, Sergio B. Persistent survival of one-dimensional contact processes in
random environments. Ann. Probab., Tome 24 (1996) no. 2, pp. 411-421. http://gdmltest.u-ga.fr/item/1042644723/