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Non-local Branching Superprocesses and Some Related Models

概率论 2007-05-23 v1

摘要

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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引用

@article{arxiv.math/0606616,
  title  = {Non-local Branching Superprocesses and Some Related Models},
  author = {Donald A. Dawson and Luis G. Gorostiza and Zenghu Li},
  journal= {arXiv preprint arXiv:math/0606616},
  year   = {2007}
}