Convergence rates for subcritical threshold-one contact processes on lattices
Probability
2016-01-27 v1
Abstract
In this paper we are concerned with threshold-one contact processes on lattices. We show that the probability that the origin is infected converges to 0 at an exponential rate I in the subcritical case. Furthermore, we give a limit theorem for I as the degree of the lattice grows to infinity. Our results also hold for classic contact processes on lattices.
Cite
@article{arxiv.1503.07262,
title = {Convergence rates for subcritical threshold-one contact processes on lattices},
author = {Xiaofeng Xue},
journal= {arXiv preprint arXiv:1503.07262},
year = {2016}
}
Comments
18 pages