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arXiv · 1908.04175

The quasi-stationary distribution of the subcritical contact process

Franco Arrejoría·Pablo Groisman·Leonardo T. Rolla
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Abstract

We show that the quasi-stationary distribution of the subcritical contact process on $\mathbb{Z}^d$ 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.

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Franco Arrejoría, Pablo Groisman, Leonardo T. Rolla. 2019-08-12. The quasi-stationary distribution of the subcritical contact process. https://arxiv.org/abs/1908.04175

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