# 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.
Document type :
Preprints, Working Papers, ...
2009
Domain :

https://hal.archives-ouvertes.fr/hal-00444240
Contributor : Julien Berestycki <>
Submitted on : Wednesday, January 6, 2010 - 11:23:11 AM
Last modification on : Wednesday, October 12, 2016 - 1:02:56 AM

### Identifiers

• HAL Id : hal-00444240, version 1
• ARXIV : 0912.4736

### Citation

Julien Berestycki, Andreas E. Kyprianou, Antonio Murillo. The prolific backbone for supercritical superdiffusions. 2009. <hal-00444240>

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