| Título: | Asymptotic Laws for Nonconservative Self-similar Fragmentations |
| Autores: |
Bertoin, Jean; Université Paris VI Gnedin, Alexander V.; Rijksuniversiteit Utrecht, The Netherlands |
| Fecha: | 2004-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: | No aplica |
| Descripción: | We consider a self-similar fragmentation process in which the generic particle of mass $x$ is replaced by the offspring particles at probability rate $x^\alpha$, with positive parameter $\alpha$. The total of offspring masses may be both larger or smaller than $x$ with positive probability. We show that under certain conditions the typical mass in the ensemble is of the order $t^{-1/\alpha}$ and that the empirical distribution of masses converges to a random limit which we characterise in terms of the reproduction law. |
| Idioma: | No aplica |
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