Splitting trees with neutral Poissonian mutations I: Small families

We consider a neutral dynamical model of biological diversity, where individuals live and reproduce independently. They have i.i.d. lifetime durations (which are not necessarily exponentially distributed) and give birth (singly) at constant rate b. Such a genealogical tree is usually called a splitting tree [9], and the population counting process (Nt;t≥0) is a homogeneous, binary Crump–Mode–Jagers process.

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Year of publication:	2012
Authors:	Champagnat, Nicolas ; Lambert, Amaury
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 122.2012, 3, p. 1003-1033
Publisher:	Elsevier
Subject:	Branching process \| Coalescent point process \| Splitting tree \| Crump–Mode–Jagers process \| Linear birth–death process \| Allelic partition \| Infinite alleles model \| Poisson point process \| Lévy process \| Scale function \| Regenerative set \| Random characteristic

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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