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The quasi-stationary distribution of the subcritical contact process
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-07-20 , DOI: 10.1090/proc/15109
Franco Arrejoría , Pablo Groisman , Leonardo T. Rolla

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.


中文翻译:

亚临界接触过程的准平稳分布

摘要:我们证明了亚临界接触过程的准平稳分布是唯一的。与之相反的是,其他过程也不是无穷大的,例如稳定队列和高尔顿-沃森,这似乎是第一个这样的例子。 $ \ mathbb {Z} ^ d $
更新日期:2020-08-20
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