Departmental Bulletin Paper An Example for Convergence of Environment-Dependent Spatial Models<数学・自然科学>

道工, 勇

65 ( 1 )  , pp.179 - 186 , 2016 , 埼玉大学教育学部
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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