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The prolific backbone for supercritical superprocesses


Reference:

Berestycki, J., Kyprianou, A. E. and Murillo-Salas, A., 2011. The prolific backbone for supercritical superprocesses. Stochastic Processes and their Applications, 121 (6), pp. 1315-1331.

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    Official URL:

    http://dx.doi.org/10.1016/j.spa.2011.02.004

    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.

    Details

    Item Type Articles
    CreatorsBerestycki, J., Kyprianou, A. E. and Murillo-Salas, A.
    DOI10.1016/j.spa.2011.02.004
    DepartmentsFaculty of Science > Mathematical Sciences
    RefereedYes
    StatusPublished
    ID Code23325

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