Limit theorems for continuous-time branching flows

Hui He; Rugang Ma

doi:10.1239/jap/1402578627

Abstract

We construct a flow of continuous-time and discrete-state branching processes. Some scaling limit theorems for the flow are proved, which lead to the path-valued branching processes and nonlocal branching superprocesses, over the positive half line, studied in Li (2014).

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Hui He. Rugang Ma. "Limit theorems for continuous-time branching flows." J. Appl. Probab. 51 (2) 317 - 332, June 2014. https://doi.org/10.1239/jap/1402578627

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Published: June 2014

First available in Project Euclid: 12 June 2014

zbMATH: 1304.60089

MathSciNet: MR3217769

Digital Object Identifier: 10.1239/jap/1402578627

Subjects:

Primary: 60J68

Secondary: 60G57 , 60J80

Keywords: branching process , continuous time , discrete state , nonlocal branching , stochastic flow , Superprocess

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