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arXiv · 0801.4499

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

Charles Bordenave
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Abstract

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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Charles Bordenave. 2008-10-20. On the birth-and-assassination process, with an application to scotching a rumor in a network. https://arxiv.org/abs/0801.4499

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