## Electronic Journal of Probability

### On the Eve property for CSBP

#### 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

#### Article information

Source
Electron. J. Probab., Volume 19 (2014), paper no. 6, 31 pp.

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

https://projecteuclid.org/euclid.ejp/1465065648

Digital Object Identifier
doi:10.1214/EJP.v19-2831

Mathematical Reviews number (MathSciNet)
MR3164759

Zentralblatt MATH identifier
1287.60100

Rights

#### Citation

Duquesne, Thomas; Labbé, Cyril. On the Eve property for CSBP. Electron. J. Probab. 19 (2014), paper no. 6, 31 pp. doi:10.1214/EJP.v19-2831. https://projecteuclid.org/euclid.ejp/1465065648

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