The spatial $Λ$-coalescent
| dc.creator | Limic, Vlada | |
| dc.creator | Sturm, Anja | |
| dc.date | 2005-11-22 | |
| dc.date.accessioned | 2026-07-07T06:51:34Z | |
| dc.date.available | 2026-07-07T06:51:34Z | |
| dc.description | This paper extends the notion of the $\la$-coalescent of Pitman (1999) to the spatial setting. The partition elements of the spatial $Λ$-coalescent migrate in a (finite) geographical space and may only coalesce if located at the same site of the space. We characterize the $Λ$-coalescents that come down from infinity, in an analogous way to Schweinsberg (2000). Surprisingly, all spatial coalescents that come down from infinity, also come down from infinity in a uniform way. This enables us to study space-time asymptotics of spatial $Λ$-coalescents on large tori in $d\ge 3$ dimensions. Our results generalize and strengthen those of Greven et al. (2005), who studied the spatial Kingman coalescent in this context. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511536 | |
| dc.identifier | http://arxiv.org/abs/math/0511536 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105029 | |
| dc.subject | Probability | |
| dc.subject | 60J25, 60K35 | |
| dc.title | The spatial $Λ$-coalescent | |
| dc.type | text |