Dual random fragmentation and coagulation and an application to the genealogy of Yule processes
classification
🧮 math.PR
keywords
fragmentationcoagulationdualgenealogyprocessesrandomyuleappear
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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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