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2002 State Classification for a Class of Interacting Superprocesses with Location Dependent Branching
Hao Wang
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Electron. Commun. Probab. 7: 157-167 (2002). DOI: 10.1214/ECP.v7-1057

Abstract

The spatial structure of a class of superprocesses which arise as limits in distribution of a class of interacting particle systems with location dependent branching is investigated. The criterion of their state classification is obtained. Their effective state space is contained in the set of purely-atomic measures or the set of absolutely continuous measures according as one diffusive coefficient $c(x) \equiv 0$ or $|c(x)| \geq \epsilon \gt 0$ while another diffusive coefficient $h \in C^{2}_{b}(R)$.

Citation

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Hao Wang. "State Classification for a Class of Interacting Superprocesses with Location Dependent Branching." Electron. Commun. Probab. 7 157 - 167, 2002. https://doi.org/10.1214/ECP.v7-1057

Information

Accepted: 10 August 2002; Published: 2002
First available in Project Euclid: 16 May 2016

zbMATH: 1010.60078
MathSciNet: MR1937901
Digital Object Identifier: 10.1214/ECP.v7-1057

Subjects:
Primary: 60K35
Secondary: 60J35, 60J80

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