Dual random fragmentation and coagulation and an application to the genealogy of Yule processes

2004/08/10 by Jean Bertoin, Bertoin, Jean, Christina Goldschmidt +1
Mathematics · #60J05 #60J80 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60J05 #msc:60J80

paper · pdf · doi:10.48550/arxiv.math/0408128

14 pages

arxiv created 2004/08/10 · arxiv updated 2009/12/01

Abstract

The purpose of this work is to describe a duality between a fragmentation associated to certain Dirichlet distributions and a natural random coagulation. The dual fragmentation and coalescent chains arising in this setting appear in the description of the genealogy of Yule processes.

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