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

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

Random covering of an interval and a variation of Kingman's coalescent

Auteur(s):

Code(s) de Classification MSC:

Résumé: We consider the covering of [0,1] by a large number of small random intervals. We show that a simple variation of Kingman's coalescent describes the emergence of macroscopic connected components.

Mots Clés: Kingman's coalescent ; random covering

Date: 2003-02-26

Prépublication numéro: PMA-794