On the genealogy on conditioned stable Lévy forest
| dc.creator | Chaumont, Loic | |
| dc.creator | Millan, Juan Carlos Pardo | |
| dc.date | 2007-06-18 | |
| dc.date.accessioned | 2026-07-07T08:10:49Z | |
| dc.date.available | 2026-07-07T08:10:49Z | |
| dc.description | We give a realization of the stable Lévy forest of a given size conditioned by its mass from the path of the unconditioned forest. Then, we prove an invariance principle for this conditioned forest by considering $k$ independent Galton-Watson trees whose offspring distribution is in the domain of attraction of any stable law conditioned on their total progeny to be equal to $n$. We prove that when $n$ and $k$ tend towards $+\infty$, under suitable rescaling, the associated coding random walk, the contour and height processes converge in law on the Skorokhod space respectively towards the "first passage bridge" of a stable Lévy process with no negative jumps and its height process. | |
| dc.identifier | https://arxiv.org/abs/0706.2605 | |
| dc.identifier | http://arxiv.org/abs/0706.2605 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131932 | |
| dc.subject | Probability | |
| dc.subject | 60F17, 05G05, 60G52, 60G17 | |
| dc.title | On the genealogy on conditioned stable Lévy forest | |
| dc.type | text |