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A decomposition of the (1+beta)-superprocess conditioned on survival

Abstract:

There is a large catalogue of decompositions of conditioned superprocesses in terms of an 'immortal backbone' or 'skeleton' along the branches of which mass is constantly immigrated. We add to this with a study of the (infinite-variance) (1 + β)-superprocess, conditioned on survival until some fixed time T. As one would expect, we see a Poisson number of immortal trees (conditioned on there being at least one), along which mass (conditioned to die before time T) is immigrated. However, here w...

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Publication status:
Published

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Publisher copy:
10.1017/S0308210500002699

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Statistics
Williams, DRE More by this author
Journal:
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Volume:
133
Issue:
4
Pages:
829-847
Publication date:
2003
DOI:
EISSN:
1473-7124
ISSN:
0308-2105
URN:
uuid:f188369f-5eef-4ff8-8d77-94e9efdc542d
Source identifiers:
97462
Local pid:
pubs:97462
Language:
English

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