Limit theorems for flows of branching processes  

作　　者：Hui HE Rugang MA 

机构地区：[1]School of Mathematical Sciences, Bei.iing Normal University, Beijing 100875, China [2]School of Applied Mathematics, Central University of Finance and Economics,Beijing 100081, China

出　　处：《Frontiers of Mathematics in China》2014年第1期63-79,共17页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements The authors would like to give their sincere thanks to Professor Zenghu Li for encouragement and helpful discussion. They also would like to acknowledge the Laboratory of Mathematics and Complex Systems （Ministry of Education, China） for providing them the research facilities. This work was supported in part by the National Natural Science Foundation of China （Grants Nos. 11201030, 11071021, 11126037）, the Specialized Research Fund for the Doctoral Program of Higher Education （20110003120003）, and Ministry of Education （985 Project）.

摘　　要：We construct two kinds of stochastic flows of discrete Galton-Watson branching processes. Some scaling limit theorems for the flows are proved, which lead to local and nonlocal branching superprocesses over the positive half line.We construct two kinds of stochastic flows of discrete Galton-Watson branching processes. Some scaling limit theorems for the flows are proved, which lead to local and nonlocal branching superprocesses over the positive half line.

关 键 词：Stochastic flow Galton-Watson branching process continuous- state branching process SUPERPROCESS nonlocal branching 

分 类 号：O211.65[理学—概率论与数理统计] O211.4[理学—数学]