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

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

The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes.

Auteur(s):

Code(s) de Classification MSC:

Résumé: We use Bochner's subordination to give a representation of the genealogical structure associated with general continuous-state branching processes. We then apply this representation to connections between a branching process introduced by Neveu, and the coalescent process recently investigated by Bolthausen-Sznitman and others.

Mots Clés: Continuous-state branching processes; genealogy; subordination; coalescent;

Date: 1999-03-22

Prépublication numéro: PMA-493