The prolific backbone for supercritical superprocesses

J. Berestycki, A.E. Kyprianou and A. Murillo-Salas

Stochastic Processes and their Applications, 2011, vol. 121, issue 6, 1315-1331

Abstract: We develop an idea of Evans and O'Connell (1994) [13], Engländer and Pinsky (1999) [10] and Duquesne and Winkel (2007) [4] 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 (2003) [11]. Our approach relies heavily on the use of Dynkin-Kuznetsov -measures.

Keywords: Superprocesses; -measure; Backbone; Conditioning; on; extinction; Prolific; individuals (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (3)

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