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.
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Preprints, Working Papers, ...
2009
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https://hal.archives-ouvertes.fr/hal-00444240
Contributor : Julien Berestycki <>
Submitted on : Wednesday, January 6, 2010 - 11:23:11 AM
Last modification on : Monday, May 29, 2017 - 2:23:49 PM

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

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PMA | INSMI | UPMC | USPC

Citation

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

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