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 positi...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.展开更多
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）.
文摘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.
