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 Electronic Communications in Probability > Vol. 7 (2002) > Paper 16 open journal systems 


State Classification for a Class of Interacting Superprocesses with Location Dependent Branching

Hao Wang, University of Oregon


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 $|c(x)|  geq epsilon > 0$ while another diffusive coefficient $h in C^{2}_{b}(R)$.


Full text: PDF

Pages: 157-167

Published on: August 10, 2002
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Electronic Communications in Probability. ISSN: 1083-589X