Superprocesses arising from interactive stochastic flows  

作　　者：YAN Guojun & LI Zhanbing Medical School, Shantou University, Shantou 515063, China Department of Mathematics, Bejing Normal University, Beijing 100875, China 

出　　处：《Science China Mathematics》2006年第4期451-476,共26页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.90104004&10471002);973 Project of China(Grant No.G1999075105);the Natural Science Foundation of Guangdong Province(Grant No.032038);the Doctoral Foundation of Guangdong Province(Grant No.032038);the Doctoral Foundation of Guangdong Province(Grant No.04300917).

摘　　要：In this paper, we give a unified construction for superprocesses with dependent spatial motion constructed by Dawson, Li, Wang and superprocesses of stochastic flows constructed by Ma and Xiang. Furthermore, we also give some examples and rescaled limits of the new class of su perprocesses.In this paper, we give a unified construction for superprocesses with dependent spatial motion constructed by Dawson, Li, Wang and superprocesses of stochastic flows constructed by Ma and Xiang. Furthermore, we also give some examples and rescaled limits of the new class of superprocesses.

关 键 词：superprocess  INTERACTIVE STOCHASTIC flows  MARTINGALE problem  dual processes. 

分 类 号：O351[理学—流体力学]