The prolific backbone for supercritical superdiffusions
Probability
2010-09-22 v2
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 -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.
Cite
@article{arxiv.0912.4736,
title = {The prolific backbone for supercritical superdiffusions},
author = {Julien Berestycki and Andreas E. Kyprianou and Antonio Murillo},
journal= {arXiv preprint arXiv:0912.4736},
year = {2010}
}