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Continuous dependence of a class of superprocesses on branching parameters and applications

Continuous dependence of a class of superprocesses on branching parameters and applications

A general class of finite variance critical $(\xi, \Phi, k)$-superprocesses $X$ in a Luzin space $E$ with cadlag right Markov motion process $\xi$, regular local branching mechanism and branching functional $k$ of bounded characteristic are shown to continuously depend on $(\Phi, k)$. As an application we show that the processes …