Mathematics – Probability
Scientific paper
2006-12-22
Mathematics
Probability
Scientific paper
A homogeneous mass-fragmentation, as it has been defined in \cite{RFC}, describes the evolution of the collection of masses of fragments of an object which breaks down into pieces as time passes. Here, we show that this model can be enriched by considering also the types of the fragments, where a type may represent, for instance, a geometrical shape, and can take finitely many values. In this setting, the dynamics of a randomly tagged fragment play a crucial role in the analysis of the fragmentation. They are determined by a Markov additive process whose distribution depends explicitly on the characteristics of the fragmentation. As applications, we make explicit the connexion with multitype branching random walks, and obtain multitype analogs of the pathwise central limit theorem and large deviation estimates for the empirical distribution of fragments.
No associations
LandOfFree
Homogenenous Multitype Fragmentations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Homogenenous Multitype Fragmentations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homogenenous Multitype Fragmentations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-532068