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2014 On the Eve property for CSBP
Thomas Duquesne, Cyril Labbé
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Electron. J. Probab. 19: 1-31 (2014). DOI: 10.1214/EJP.v19-2831

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

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Thomas Duquesne. Cyril Labbé. "On the Eve property for CSBP." Electron. J. Probab. 19 1 - 31, 2014. https://doi.org/10.1214/EJP.v19-2831

Information

Accepted: 12 January 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1287.60100
MathSciNet: MR3164759
Digital Object Identifier: 10.1214/EJP.v19-2831

Subjects:
Primary: 60J80
Secondary: 60E07 , 60G55

Keywords: continuous state branching process , dust , Eve , frequency distribution , Grey martingale

Vol.19 • 2014
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