English

The quasi-stationary distribution of the subcritical contact process

Probability 2019-08-13 v1

Abstract

We show that the quasi-stationary distribution of the subcritical contact process on Zd\mathbb{Z}^d is unique. This is in contrast with other processes which also do not come down from infinity, like stable queues and Galton-Watson, and it seems to be the first such example.

Keywords

Cite

@article{arxiv.1908.04175,
  title  = {The quasi-stationary distribution of the subcritical contact process},
  author = {Franco Arrejoría and Pablo Groisman and Leonardo T. Rolla},
  journal= {arXiv preprint arXiv:1908.04175},
  year   = {2019}
}