A Metastability Result for the Contact Process on a Random Regular Graph
Probability
2015-03-18 v1
Abstract
In this paper we study the metastability of the contact process on a random regular graph. We show that the extinction time of the contact process, when initialized so that all vertices are infected at time 0, grows exponentially with the vertex number. Moreover, we show that the extinction time divided by its mean converges to a unit exponential distribution in law.
Keywords
Cite
@article{arxiv.1503.04895,
title = {A Metastability Result for the Contact Process on a Random Regular Graph},
author = {Wei Su},
journal= {arXiv preprint arXiv:1503.04895},
year = {2015}
}
Comments
For Theorem 1, We acknowledge the priority of the work by J.-C. Mourrat and D. Valesin in their paper "Phase transition of the contact process on random regular graphs", however the proof in this paper is somewhat different and we include it