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Trimmed trees and embedded particle systems

Klaus Fleischmann·Jan M. Swart
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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.

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Klaus Fleischmann, Jan M. Swart. 2004-10-05. Trimmed trees and embedded particle systems. https://doi.org/10.1214/009117904000000090

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