Different Aspects of a Model for Random Fragmentation Processes

Jean Bertoin (1)

1 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

This text surveys different probabilistic aspects of a model which is used to describe the evolution of an object that falls apart randomly as time passes. Each point of view yields useful techniques to establish properties of such random fragmentation processes.

Mots clés: Fragmentation; branching process; Markov chain; multiplicative cascade; exchangeable partition.; exchangeable partition

Domaines: Probabilités [math.PR]

Jean Bertoin. Different Aspects of a Model for Random Fragmentation Processes. 2005. ⟨hal-00004175⟩