Fluctuation limits of strongly degenerate branching systems  

作　　者：LI YuQiang 

机构地区：[1]School of Finance and Statistics, East China Normal University, Shanghai 200241, China

出　　处：《Science China Mathematics》2011年第12期2669-2682,共14页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10901054)

摘　　要：Functional limit theorems for scaled occupation time fluctuations of a sequence of generalized branching particle systems in Rd with anisotropic space motions and strongly degenerated splitting abilities are studied in the cases of critical and intermediate dimensions. The results show that the limit processes are time-independent measure-valued Wiener processes with simple spatial structure.Functional limit theorems for scaled occupation time fluctuations of a sequence of generalized branching particle systems in Rd with anisotropic space motions and strongly degenerated splitting abilities are studied in the cases of critical and intermediate dimensions. The results show that the limit processes are time-independent measure-valued Wiener processes with simple spatial structure.

关 键 词：functional limit theorem occupation time fluctuation branching particle system 

分 类 号：O327[理学—一般力学与力学基础] O431[理学—力学]