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Abstract
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 language | English |
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Pages (from-to) | 1315-1331 |
Number of pages | 17 |
Journal | Stochastic Processes and their Applications |
Volume | 121 |
Issue number | 6 |
DOIs | |
Publication status | Published - Jun 2011 |
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Dive into the research topics of 'The prolific backbone for supercritical superprocesses'. Together they form a unique fingerprint.Projects
- 1 Finished
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Modern Mathematical Branching and Fractal Phenomena
Kyprianou, A. (PI)
1/03/09 → 23/05/09
Project: Research council