Asymptotics for the small fragments of the fragmentation at nodes
| dc.creator | Abraham, Romain | |
| dc.creator | Delmas, Jean-François | |
| dc.date | 2006-03-08 | |
| dc.date.accessioned | 2026-07-07T07:54:55Z | |
| dc.date.available | 2026-07-07T07:54:55Z | |
| dc.description | We consider the fragmentation at nodes of the Lévy continuous random tree introduced in a previous paper. In this framework we compute the asymptotic for the number of small fragments at time $θ$. This limit is increasing in $θ$ and discontinuous. In the $α$-stable case the fragmentation is self-similar with index $1/α$, with $α\in (1,2)$ and the results are close to those Bertoin obtained for general self-similar fragmentations but with an additional assumtion which is not fulfilled here. | |
| dc.identifier | https://arxiv.org/abs/math/0603192 | |
| dc.identifier | http://arxiv.org/abs/math/0603192 | |
| dc.identifier | Bernoulli 13 (01/2007) 211-228 | |
| dc.identifier | doi:10.3150/07-BEJ6045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126797 | |
| dc.subject | Probability | |
| dc.subject | 60J25, 60G57 | |
| dc.title | Asymptotics for the small fragments of the fragmentation at nodes | |
| dc.type | text |