| Université Paris 6 Pierre et Marie Curie | Université Paris 7 Denis Diderot | |
| CNRS U.M.R. 7599 | ||
| ``Probabilités et Modèles Aléatoires'' | ||
Auteur(s):
Code(s) de Classification MSC:
Résumé: We define and study a family of Markov processes with state space the compact set of all partitions of $\N$ that we call exchangeable fragmen\-tation-coalescence processes. They can be viewed as a combination of exchangeable fragmentation as defined by Bertoin and of homogenous coalescence as defined by Pitman and Schweinsberg or Möhle and Sagitov. We show that they admit a unique invariant probability measure and we study some properties of their paths and of their equilibrium measure.
Mots Clés: Fragmentation ; coalescence ; invariant distribution
Date: 2004-03-09
Prépublication numéro: PMA-890