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

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

2004-08-10

arxiv.org/abs/math/0408128v1

Mathematics

Probability

14 pages

Scientific paper

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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