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

Sandra Palau; Ting Yang

doi:10.1016/j.spa.2019.04.007

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

Sandra Palau, Ting Yang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1074-1102
Number of pages	29
Journal	Stochastic Processes and their Applications
Volume	130
Issue number	2
DOIs	https://doi.org/10.1016/j.spa.2019.04.007
Publication status	Published - Feb 2020

Keywords

L-convergence
Law of large numbers
Non-local branching mechanism
Superprocess

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10.1016/j.spa.2019.04.007

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

Abstract

Keywords

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