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

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

2008-01-29

arxiv.org/abs/0801.4499v2

Mathematics

Probability

16 pages

Scientific paper

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.

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