The contact process with aging
Probability
2014-07-01 v2
Abstract
In this article, we introduce a contact process with aging: in this generalization of the classical contact process, each particle has an integer age that influences its ability to give birth. We prove here a shape theorem for this process conditioned to survive. In order to establish some key exponential decays, we adapt the Bezuidenhout and Grimmett construction [BG91] to build a coupling between our process and a supercritical oriented percolation. Our results also apply to the two-stage contact process introduced by Krone [Kro92].
Cite
@article{arxiv.1405.6153,
title = {The contact process with aging},
author = {Aurelia Deshayes},
journal= {arXiv preprint arXiv:1405.6153},
year = {2014}
}