The Complete Convergence Theorem Holds for Contact Processes in a Random Environment on $Z^d\times Z^+$
Probability
2015-03-19 v4
Abstract
In this article, we consider the basic contact process in a static random environment on the half space where the recovery rates are constants and the infection rates are independent and identically distributed random variables. We show that, for almost every environment, the complete convergence theorem holds. This is a generalization of the known result for the classical contact process in the half space case.
Cite
@article{arxiv.1102.3020,
title = {The Complete Convergence Theorem Holds for Contact Processes in a Random Environment on $Z^d\times Z^+$},
author = {Qiang Yao and Xinxing Chen},
journal= {arXiv preprint arXiv:1102.3020},
year = {2015}
}