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Pré-Publication, Document De Travail Année : 2009

The prolific backbone for supercritical superdiffusions

Résumé

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.

Dates et versions

hal-00444240 , version 1 (06-01-2010)

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Julien Berestycki, Andreas Eou Kyprianou, Antonio Murillo. The prolific backbone for supercritical superdiffusions. 2009. ⟨hal-00444240⟩
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