The prolific backbone for supercritical superprocesses

J Berestycki, Andreas E Kyprianou, A Murillo-Salas

OAI: oai:purehost.bath.ac.uk:openaire_cris_publications/028c34f2-4d50-43ad-b68b-40fbb23216be • DOI: https://doi.org/10.1016/j.spa.2011.02.004

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.