Trimmed trees and embedded particle systems

• Klaus Fleischmann ^[1] ; Jan M. Swart ^[2]
  1. [1] Weierstrass Institute for Applied Analysis and Stochastics

     Weierstrass Institute for Applied Analysis and Stochastics

     Berlin, Stadt, Alemania

     
  2. [2] University of Erlangen-Nuremberg

     University of Erlangen-Nuremberg

     Kreisfreie Stadt Erlangen, Alemania

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 32, Nº. 3, 1, 2004, págs. 2179-2221
• Idioma: inglés
• DOI: 10.1214/009117904000000090
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.