Trimmed trees and embedded particle systems
Probability
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0410113,
title = {Trimmed trees and embedded particle systems},
author = {Klaus Fleischmann and Jan M. Swart},
journal= {arXiv preprint arXiv:math/0410113},
year = {2007}
}
Comments
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