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Criterion on the limits of superprocesses
Authors:Yongjin Wang
Affiliation:(1) Department of Mathematics, Nankai University, 300071 Tianjin, China
Abstract:
Starting with super-diffusion processes, the asymptotic behavior of the superprocesses on finite and infinite measure spaces is systematically studied by general branching mechanisms. The complete features of their limits are described and a criterion on their behavior is presented. Project supported by the National Natural Science Foundation of China (Grant No. 19631010) and the Mathematical Centre of the State Education Commission.
Keywords:Superprocess  branching function  extinct and non-extinct  invariant measure  equilibrium state
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