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

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

Eternal additive coalescents and certain bridges with exchangeable increments

Auteur(s):

Code(s) de Classification MSC:

Résumé: Aldous and Pitman [5] have studied the asymptotic behavior of the additive coalescent processes using a nested family random forests derived by logging certain inhomogeneous continuum random trees. Here we propose a different approach based on partitions of the unit interval induced by certain bridges with exchangeable increments. The analysis is made simple by an interpretation in terms of an aggregating server system.

Mots Clés: Additive coalescent, fragmentation, bridge with exchangeable increments

Date: 2000-02-25

Prépublication numéro: PMA-571