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


 
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1. Title Title of document On the birth-and-assassination process, with an application to scotching a rumor in a network
 
2. Creator Author's name, affiliation, country Charles Bordenave; Université de Toulouse & CNRS
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) branching process, heavy tail phenomena, SIR epidemics
 
3. Subject Subject classification 60J80
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2008-11-11
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/573
 
10. Identifier Digital Object Identifier 10.1214/EJP.v13-573
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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