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Demonstrates the convergence of spatial models to a superprocess, suggesting a novel perspective on stochastic interactions.
In this paper we consider an environment-dependent spatial model. Actually, this random model is closely related to some of the stochastic interacting system in Liggett [23] (1999). We shall show that rescaled processes of the models converge to a Dawson-Watanabe superprocess with suitable parameters. Our formulation of measure-valued branching Markov processes [17] is greatly due to a martingale problem formalism. The first step toward a transformation of spatial model into a superprocess is based upon construction of related empirical measures.
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勇 道工 (2016) studied this question.
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