| 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 introduce a probabilistic model that is meant to describe an object that falls apart randomly as time passes and fulfills a certain scaling property. We show that the distribution of such a process is determined by its index of self-similarity $\alpha\in \R$, a rate of erosion $c\geq0$, and a so-called L\'evy measure that accounts for sudden dislocations. The key of the analysis is provided by a transformation of self-similar fragmentations which enables us to reduce the study to the homogeneous case $\alpha=0$ which is treated in [6]
Mots Clés: Fragmentation ; self-similar ; exchangeable partition
Date: 2000-09-08
Prépublication numéro: PMA-610