Dual random fragmentation and coagulation and an application to the genealogy of Yule processes
Probability
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0408128,
title = {Dual random fragmentation and coagulation and an application to the genealogy of Yule processes},
author = {Jean Bertoin and Christina Goldschmidt},
journal= {arXiv preprint arXiv:math/0408128},
year = {2007}
}
Comments
14 pages