Exponential extinction time of the contact process on rank-one inhomogeneous random graphs
Probability
2017-09-20 v2 Combinatorics
Abstract
We show that the contact process on the rank-one inhomogeneous random graphs and Erdos-R{\'e}nyi graphs with mean degree large enough survives a time exponential in the size of these graphs for any positive infection rate. In addition, a metastable result for the extinction time is also proved.
Keywords
Cite
@article{arxiv.1602.02059,
title = {Exponential extinction time of the contact process on rank-one inhomogeneous random graphs},
author = {Van Hao Can},
journal= {arXiv preprint arXiv:1602.02059},
year = {2017}
}
Comments
20 pages, accepted for publication in Journal of Theoretical Probability