Implosion of a pure death process
arXiv:1810.10050 · doi:10.1016/j.physa.2019.04.087
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.