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+β)-superprocesses given in Etheridge and Williams 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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