Supercritical multitype branching processes: the ancestral types of typical individuals
| dc.creator | Georgii, Hans-Otto | |
| dc.creator | Baake, Ellen | |
| dc.date | 2003-02-05 | |
| dc.date | 2003-06-10 | |
| dc.date.accessioned | 2026-07-07T04:54:55Z | |
| dc.date.available | 2026-07-07T04:54:55Z | |
| dc.description | For supercritical multitype branching processes in continuous time, we investigate the evolution of types along those lineages that survive up to some time t. We establish almost-sure convergence theorems for both time and population averages of ancestral types (conditioned on non-extinction), and identify the mutation process describing the type evolution along typical lineages. An important tool is a representation of the family tree in terms of a suitable size-biased tree with trunk. As a by-product, this representation allows a `conceptual proof' (in the sense of Kurtz, Lyons, Pemantle, Peres 1997) of the continuous-time version of the Kesten-Stigum theorem. | |
| dc.description | 23 pages, 1 figure; minor additions, added references | |
| dc.identifier | https://arxiv.org/abs/math/0302049 | |
| dc.identifier | http://arxiv.org/abs/math/0302049 | |
| dc.identifier | Adv. Appl. Prob. 35 (2003), 1090-1110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66447 | |
| dc.subject | Probability | |
| dc.subject | Populations and Evolution | |
| dc.subject | 60J80; 60F10 | |
| dc.title | Supercritical multitype branching processes: the ancestral types of typical individuals | |
| dc.type | text |