The prolific backbone for supercritical superdiffusions

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 $(1+\beta )$-superprocesses given in Etheridge and Williams \cite{EW}. Our approach takes an analytical point of view which is more in the spirit of the original Evans and O'Connell paper.

References in corpus (2)

• A continuum-tree-valued Markov process
• Growth of Levy trees

Cited by in corpus (1)

• Smaller population size at the MRCA time for stationary branching processes