Superprocesses on Two Space Forms  

作　　者：TANG Jia-shan (Department of Applied Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, P.R. China) 

出　　处：《The Journal of China Universities of Posts and Telecommunications》2001年第3期69-76,共8页中国邮电高校学报（英文版）

摘　　要：Superprocess is one class of measure-valued branching Markov processes. Many results of the process on abstract spaces and Euclidean spaces are obtained in the literature. In this paper, we discuss super-Brownian motions on two space forms and reveal partially the relationship between the properties of superprocesses and the geometric structure of the underlying state spaces. Finally, we also presents some open problems.Superprocess is one class of measure-valued branching Markov processes. Many results of the process on abstract spaces and Euclidean spaces are obtained in the literature. In this paper, we discuss super-Brownian motions on two space forms and reveal partially the relationship between the properties of superprocesses and the geometric structure of the underlying state spaces. Finally, we also presents some open problems.

关 键 词：SUPERPROCESS branching mechanism underlying process underlying space space form 

分 类 号：O211.65[理学—概率论与数理统计]