The prolific backbone for supercritical superdiffusions

2009/12/23 by Julien Berestycki, Berestycki, Julien, Andreas E. Kyprianou +3
Mathematics · Physics and Astronomy · #60E10 #60J80 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.0912.4736

openalex publication_date 2009/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop an idea of Evans and O'Connell, Englander and Pinsky and Duquesne and Winkel by giving a pathwise construction of the so called `backbone' decomposition for supercritical superprocesses. Our results also complement a related result for critical (1+β)-superprocesses given in Etheridge and Williams \citeEW. Our approach takes an analytical point of view which is more in the spirit of the original Evans and O'Connell paper.

Citations

• Growth of Levy trees

Related

• The backbone decomposition for spatially dependent supercritical superprocesses
• Backbone decomposition of multitype superprocesses
• The backbone decomposition for superprocesses with non-local branching
• An application of the backbone decomposition to supercritical super-Brownian motion with a barrier
• Williams decomposition for superprocesses