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

   
@article{EJP573,
	author = {Charles Bordenave},
	title = {On the birth-and-assassination process, with an application to scotching a rumor in a network},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {13},
	year = {2008},
	keywords = {branching process, heavy tail phenomena, SIR epidemics},
	abstract = {We give new formulas on the total number of born particles in the stable birth-and-assassination process, and prove that it has a 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.},
	pages = {no. 66, 2014-2030},
	issn = {1083-6489},
	doi = {10.1214/EJP.v13-573},    
        url = {http://ejp.ejpecp.org/article/view/573}}