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

Jean Bertoin; Christina Goldschmidt

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

Jean Bertoin·Christina Goldschmidt

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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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Jean Bertoin, Christina Goldschmidt. 2004-08-10. Dual random fragmentation and coagulation and an application to the genealogy of Yule processes. https://arxiv.org/abs/math/0408128

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