Non-local Branching Superprocesses and Some Related Models
Donald A. Dawson, Luis G. Gorostiza, Zenghu Li
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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