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arXiv · 1806.02044

Law of large numbers for supercritical superprocesses with non-local branching

Sandra Palau·Ting Yang
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Abstract

In this paper we establish a weak and a strong law of large numbers for supercritical superprocesses with general non-local branching mechanisms. Our results complement earlier results obtained for superprocesses with only local branching. Several interesting examples are developed, including multitype continuous-state branching processes, multitype superdiffusions and superprocesses with discontinuous spatial motions and non-decomposable branching mechanisms.

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Sandra Palau, Ting Yang. 2018-06-06. Law of large numbers for supercritical superprocesses with non-local branching. https://arxiv.org/abs/1806.02044

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