The prolific backbone for supercritical superprocesses

J Berestycki, Andreas E Kyprianou, A Murillo-Salas

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We develop an idea of Evans and O'Connell (1994), Englander and Pinsky (1999) and Duquesne and Winkel (2007) by giving a pathwise construction of the so-called 'backbone' decomposition for supercritical superprocesses. Our results also complement a related result for critical (1 + )-superprocesses given in Etheridge and Williams (2003) . Our approach relies heavily on the use of Dynkin-Kuznetsov N-measures. Crown Copyright 2011.
Original languageEnglish
Pages (from-to)1315-1331
Number of pages17
JournalStochastic Processes and their Applications
Issue number6
Publication statusPublished - Jun 2011


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