Trimmed trees and embedded particle systems
| dc.creator | Fleischmann, Klaus | |
| dc.creator | Swart, Jan M. | |
| dc.date | 2004-10-05 | |
| dc.date.accessioned | 2026-07-07T05:12:54Z | |
| dc.date.available | 2026-07-07T05:12:54Z | |
| dc.description | In a supercritical branching particle system, the trimmed tree consists of those particles which have descendants at all times. We develop this concept in the superprocess setting. For a class of continuous superprocesses with Feller underlying motion on compact spaces, we identify the trimmed tree, which turns out to be a binary splitting particle system with a new underlying motion that is a compensated h-transform of the old one. We show how trimmed trees may be estimated from above by embedded binary branching particle systems. | |
| dc.description | Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imstat.org/aop/) at http://dx.doi.org/10.1214/009117904000000090 | |
| dc.identifier | https://arxiv.org/abs/math/0410113 | |
| dc.identifier | http://arxiv.org/abs/math/0410113 | |
| dc.identifier | Annals of Probability 2004, Vol. 32, No. 3A, 2179-2221 | |
| dc.identifier | doi:10.1214/009117904000000090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72751 | |
| dc.subject | Probability | |
| dc.subject | 60J80, 60G57, 60J60, 60K35. (Primary) | |
| dc.title | Trimmed trees and embedded particle systems | |
| dc.type | text |