The prolific backbone for supercritical superprocesses
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.
Year of publication: |
2011
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Authors: | Berestycki, J. ; Kyprianou, A.E. ; Murillo-Salas, A. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 121.2011, 6, p. 1315-1331
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Publisher: |
Elsevier |
Keywords: | Superprocesses -measure Backbone Conditioning on extinction Prolific individuals |
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