On the birth-and-assassination process, with an application to scotching a rumor in a network
Abstract
Description
We 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 pages
16 pages