Law of large numbers for supercritical superprocesses with non-local branching
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2018
- DOI:
- 10.48550/arXiv.1806.02044
- arXiv:
- arXiv:1806.02044
- Bibcode:
- 2018arXiv180602044P
- Keywords:
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- Mathematics - Probability;
- 60J68;
- 60F15 (Primary);
- 60F25 (Secondary)
- E-Print:
- 29 pages