Asymptotic laws for nonconservative self-similar fragmentations
| dc.creator | Bertoin, Jean | |
| dc.creator | Gnedin, Alexander | |
| dc.date | 2004-02-13 | |
| dc.date | 2004-06-21 | |
| dc.date.accessioned | 2026-07-07T05:05:26Z | |
| dc.date.available | 2026-07-07T05:05:26Z | |
| dc.description | We consider a self-similar fragmentation process in which the generic particle of size $x$ is replaced at probability rate $x^α$, by its offspring made of smaller particles, where $α$ is some positive parameter. The total of offspring sizes may be both larger or smaller than $x$ with positive probability. We show that under certain conditions the typical size in the ensemble is of the order $t^{-1/α}$ and that the empirical distribution of sizes converges to a random limit which we characterise in terms of the reproduction law. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402227 | |
| dc.identifier | http://arxiv.org/abs/math/0402227 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70162 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | 60J25, 60G18, 60J80 | |
| dc.title | Asymptotic laws for nonconservative self-similar fragmentations | |
| dc.type | text |