Limit theorems for splitting trees with structured immigration and applications to biogeography

We consider a branching process with Poissonian immigration where individuals have inheritable types. At rate $\theta$, new individuals singly enter the total population and start a new population which evolves like a supercritical, homogeneous, binary Crump-Mode-Jagers process: individuals have i.i...

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Veröffentlicht in:	Advances in applied probability 2011-03, Vol.43 (1), p.276-300
1. Verfasser:	Richard, Mathieu
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Probability
Online-Zugang:	Volltext
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