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Non-local Branching Superprocesses and Some Related Models

Donald A. Dawson·Luis G. Gorostiza·Zenghu Li
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Abstract

A new formulation of non-local branching superprocesses is given from which we derive as special cases the rebirth, the multitype, the mass-structured, the multilevel and the age-reproduction-structured superprocesses and the superprocess-controlled immigration process. This unified treatment simplifies considerably the proof of existence of the old classes of superprocesses and also gives rise to some new ones.

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Donald A. Dawson, Luis G. Gorostiza, Zenghu Li. 2006-06-24. Non-local Branching Superprocesses and Some Related Models. https://arxiv.org/abs/math/0606616

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