Globally centered discrete snakes
| dc.creator | Marckert, Jean-François | |
| dc.date | 2006-06-14 | |
| dc.date.accessioned | 2026-07-07T07:17:16Z | |
| dc.date.available | 2026-07-07T07:17:16Z | |
| dc.description | We consider branching random walks built on Galton-Watson trees with offspring distribution having a bounded support, conditioned to have $n$ nodes, and their rescaled convergences to the Brownian snake. We exhibit a notion of "globally centered discrete snake'' that extends the usual settings in which the displacements are supposed centered. We show that under some additional moment conditions, when $n$ goes to $+\infty$, "globally centered discrete snakes'' converge to the Brownian snake. The proof relies on a precise study of the "lineage'' of the nodes in a Galton-Watson tree conditioned by the size, and their links with a multinomial process. Some consequences concerning Galton-Watson trees conditioned by the size are also derived. | |
| dc.identifier | https://arxiv.org/abs/math/0606338 | |
| dc.identifier | http://arxiv.org/abs/math/0606338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113884 | |
| dc.subject | Probability | |
| dc.subject | 60J80, 60F17, 60J65 | |
| dc.title | Globally centered discrete snakes | |
| dc.type | text |