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

Hao Wang
2002 Electronic Communications in Probability  
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) ≡ 0 or |c(x)| ≥ ε > 0 while another diffusive coefficient h ∈ C 2 b (R). 157
doi:10.1214/ecp.v7-1057 fatcat:j76ntcps3feebfw547lkvi5hhy