Trimmed trees and embedded particle systems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

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.
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

Keywords

Probability, 60J80, 60G57, 60J60, 60K35. (Primary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72751

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410113
 http://arxiv.org/abs/math/0410113
 Annals of Probability 2004, Vol. 32, No. 3A, 2179-2221
 doi:10.1214/009117904000000090

Collections

arXiv