Open Access
Translator Disclaimer
July 2004 Trimmed trees and embedded particle systems
Klaus Fleischmann, Jan M. Swart
Ann. Probab. 32(3): 2179-2221 (July 2004). DOI: 10.1214/009117904000000090


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.


Download Citation

Klaus Fleischmann. Jan M. Swart. "Trimmed trees and embedded particle systems." Ann. Probab. 32 (3) 2179 - 2221, July 2004.


Published: July 2004
First available in Project Euclid: 14 July 2004

zbMATH: 1048.60063
MathSciNet: MR2073189
Digital Object Identifier: 10.1214/009117904000000090

Primary: 60G57 , 60J60 , 60J80 , 60K35

Keywords: (Historical) superprocess , binary branching , compensated h-transform , embedded particle system , finite ancestry property , poissonization , trimmed tree

Rights: Copyright © 2004 Institute of Mathematical Statistics


Vol.32 • No. 3 • July 2004
Back to Top