Probability of hitting a distant point for the voter model started with a single one
| dc.creator | Merle, Mathieu | |
| dc.date | 2006-09-28 | |
| dc.date.accessioned | 2026-07-07T07:25:25Z | |
| dc.date.available | 2026-07-07T07:25:25Z | |
| dc.description | The goal of this work is to find the asymptotics of the hitting probability of a distant point for the voter model on the integer lattice started from a single 1 at the origin. In dimensions 2 or 3, we obtain the precise asymptotic behavior of this probability. We use the scaling limit of the voter model started from a single 1 at the origin in terms of super-Brownian motion under its excursion measure. This invariance principle was stated by Bramson, Cox and Le Gall, as a consequence of a theorem of Cox, Durrett and Perkins. Less precise estimates are derived in dimensions greater than 4. | |
| dc.identifier | https://arxiv.org/abs/math/0609826 | |
| dc.identifier | http://arxiv.org/abs/math/0609826 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116709 | |
| dc.subject | Probability | |
| dc.subject | 60K30, 60J80, 60F17, 60G57 | |
| dc.title | Probability of hitting a distant point for the voter model started with a single one | |
| dc.type | text |