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arXiv · 0912.4736

The prolific backbone for supercritical superdiffusions

Julien Berestycki·Andreas E. Kyprianou·Antonio Murillo
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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 \cite{EW}. Our approach takes an analytical point of view which is more in the spirit of the original Evans and O'Connell paper.

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Julien Berestycki, Andreas E. Kyprianou, Antonio Murillo. 2010-09-21. The prolific backbone for supercritical superdiffusions. https://arxiv.org/abs/0912.4736

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