Université Paris 6
Pierre et Marie Curie
Université Paris 7
Denis Diderot

CNRS U.M.R. 7599
``Probabilités et Modèles Aléatoires''

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

Auteur(s):

Code(s) de Classification MSC:

Résumé: 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.

Mots Clés: Coalescence ; Fragmentation ; Genealogy ; Yule process

Date: 2004-03-18

Prépublication numéro: PMA-894