Smaller population size at the MRCA time for stationary branching processes

DOI10.1214/11-AOP668zbMath1275.92076arXiv1009.0814OpenAlexW2963645573MaRDI QIDQ690871

Yu-Ting Chen, Jean-François Delmas

Publication date: 29 November 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0814

zbMATH Keywords

bottleneckgenealogymost recent common ancestorFeller diffusionlast coalescent eventLévy treesrandom size population

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85) Population dynamics (general) (92D25)

Related Items (8)

Reversal property of the Brownian tree ⋮ The height of the latest common ancestor of two randomly chosen leaves from a (sub-)critical Galton-Watson tree ⋮ Some properties of stationary continuous state branching processes ⋮ Time to most recent common ancestor for stationary continuous state branching processes with immigration ⋮ Coalescences in continuous-state branching processes ⋮ Pathwise nonuniqueness for the SPDEs of some super-Brownian motions with immigration ⋮ A Construction of a β-Coalescent via the Pruning of Binary Trees ⋮ Exact simulation of the genealogical tree for a stationary branching population and application to the asymptotics of its total length

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