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

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 multit...

Full description

Saved in:
Bibliographic Details
Published in:Stochastic processes and their applications 2020-02, Vol.130 (2), p.1074-1102
Main Authors: Palau, Sandra, Yang, Ting
Format: Article
Language:English
Subjects:
[formula omitted]-convergence
Law of large numbers
Non-local branching mechanism
Superprocess
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0304-4149
1879-209X
DOI:10.1016/j.spa.2019.04.007