On the birth-and-assassination process, with an application to scotching a rumor in a network

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171774We give new formulas on the total number of born particles in the stable birth-and-assassination process, and prove that it has an heavy-tailed distribution. We also establish that this process is a scaling limit of a process of rumor scotching in a network, and is related to a predator-prey dynamics.16 pagesProbability60J80On the birth-and-assassination process, with an application to scotching a rumor in a networktext