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

   
@article{ECP1057,
	author = {Hao Wang},
	title = {State Classification for a Class of Interacting Superprocesses with Location Dependent Branching},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {7},
	year = {2002},
	keywords = {spatial structure, interaction, superprocess, locationdependent branching},
	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 $h \in C^{2}_{b}(R)$.},
	pages = {no. 16, 157-167},
	issn = {1083-589X},
	doi = {10.1214/ECP.v7-1057},    
        url = {http://ecp.ejpecp.org/article/view/1057}}