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arXiv · 1810.10050

Implosion of a pure death process

Luiz Renato Fontes·Rinaldo B. Schinazi
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Abstract

We study a pure death process. At each discrete time every individual dies or not independently of each other with a constant probability. We give examples showing that in a certain limit extinction happens along a path where one and only one individual is lost at a time. We also exhibit an example for which such a path goes from infinity to 0 in a finite time. This is what we call a process implosion.

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Luiz Renato Fontes, Rinaldo B. Schinazi. 2018-10-23. Implosion of a pure death process. https://doi.org/10.1016/j.physa.2019.04.087

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