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The quasi-stationary distribution of the subcritical contact process

Franco Arrejoría, Pablo Groisman, Leonardo Rolla

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Source: Crossref

Published: Jul 20, 2020

DOI: 10.1090/proc/15109

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Source abstract

We show that the quasi-stationary distribution of the subcritical contact process on Z d \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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The quasi-stationary distribution of the subcritical contact process — Mathematical Frontier Network