CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Spatial branching processes and subordination

  Published:1997-02-01
 Printed: Feb 1997
  • Jean Bertoin
  • Jean-François Le Gall
  • Yves Le Jan
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We present a subordination theory for spatial branching processes. This theory is developed in three different settings, first for branching Markov processes, then for superprocesses and finally for the path-valued process called the {\it Brownian snake}. As a common feature of these three situations, subordination can be used to generate new branching mechanisms. As an application, we investigate the compact support property for superprocesses with a general branching mechanism.
MSC Classifications: 60J80, 60J25, 60J27, 60J55, 60G57 show english descriptions Branching processes (Galton-Watson, birth-and-death, etc.)
Continuous-time Markov processes on general state spaces
Continuous-time Markov processes on discrete state spaces
Local time and additive functionals
Random measures
60J80 - Branching processes (Galton-Watson, birth-and-death, etc.)
60J25 - Continuous-time Markov processes on general state spaces
60J27 - Continuous-time Markov processes on discrete state spaces
60J55 - Local time and additive functionals
60G57 - Random measures
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/