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^*

^*此作品的通讯作者

数学学院

Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1074-1102
页数	29
期刊	Stochastic Processes and their Applications
卷	130
期	2
DOI	https://doi.org/10.1016/j.spa.2019.04.007
出版状态	已出版 - 2月 2020

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Palau, S., & Yang, T. (2020). Law of large numbers for supercritical superprocesses with non-local branching. Stochastic Processes and their Applications, 130(2), 1074-1102. https://doi.org/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

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