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On the Eve property for CSBP


 
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1. Title Title of document On the Eve property for CSBP
 
2. Creator Author's name, affiliation, country Thomas Duquesne; Université Pierre et Marie Curie; France
 
2. Creator Author's name, affiliation, country Cyril Labbé; Université Pierre et Marie Curie; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Continuous state branching process; Eve; dust; Grey martingale; frequency distribution
 
3. Subject Subject classification 60J80; 60E07; 60G55
 
4. Description Abstract We consider the population model associated to continuous state branching processes and we are interested in the so-called Eve property that asserts the existence of an ancestor with an overwhelming progeny at large times, and more generally, in the possible behaviours of the frequencies among the population at large times. In this paper, we classify all the possible behaviours according to the branching mechanism of the continuous state branching process.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-01-12
 
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/2831
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-2831
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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