In this paper, we investigate the interacting super-Brownian motion depending on population size. This process can be viewed as the high density limit of a sequence of particle systems with branching mechanism dependi...In this paper, we investigate the interacting super-Brownian motion depending on population size. This process can be viewed as the high density limit of a sequence of particle systems with branching mechanism depending on their population size. We will construct a limit function-valued dual process.展开更多
基金Foundation item: Supported by National Natural Science Foundation of China(A10071008) . Acknowledgements Here the author thank Professor Wang Zikun, Li Zhanbing and Li Zenghu sincerely for their guidance and encouragement.
文摘In this paper, we investigate the interacting super-Brownian motion depending on population size. This process can be viewed as the high density limit of a sequence of particle systems with branching mechanism depending on their population size. We will construct a limit function-valued dual process.