Communications in Mathematical Sciences

Volume 2 (2004)

Supp. 1

Supplemental Issue 1

Appearance of dust in fragmentations

Pages: 65 – 73

DOI: http://dx.doi.org/10.4310/CMS.2004.v2.n5.a5

Author

Bénédicte Haas (Laboratoire de Probabilités et Modèles Aléatoires; Université Pierre et Marie Curie, Paris, France)

Abstract

For fragmentations in which particles split even faster when their mass is smaller, it is possible to observe a decrease of the total mass of the system, due to the reduction into dust. We investigate here this appearance of dust for a large class of deterministic and random fragmentations.

Keywords

fragmentation, loss of mass to dust, tagged particle, subordinator

2010 Mathematics Subject Classification

60J25, 60J99, 82C21

Full Text (PDF format)