Homogeneous fragmentation processes (Q5956493)

The author introduces a new Markovian process valued in the space of partitions of \textbf{N}, which describes the continuous random splitting of a given initial mass. This process can be viewed as a ``marked'' continuous state branching process. His main result is a Lévy-Itô representation, which decomposes the infinitesimal fragmentation into an erosion and a sudden dislocation. Asymptotic frequencies of blocks are also studied, with links to the theory of subordinators.