催化分枝过程的波动极限定理  

FLUCTUATION LIMIT THEOREMS FOR CATALYTIC CBI-PROCESSES

作　　者：马春华[1] 

机构地区：[1]北京师范大学数学科学学院,北京100875

出　　处：《北京师范大学学报（自然科学版）》2008年第2期115-118,共4页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10121101)

摘　　要：带移民的催化分枝过程(催化CBI-过程)被定义为一类由白噪声与Poisson随机测度驱动的随机方程的唯一强解.主要研究此类催化CBI-过程的低密度波动极限,所得到的极限过程为带非负跳的仿射马氏过程.A new class of continuous state catalytic branching processes with immigration are defined as strong solutions for stochastic integral equations driven by white noise and Poisson random measures. Low density fluctuation limit in such processes was investigated. Such limitation processes coincide with spectrally positive regular affine Markov processes.

关 键 词：催化分枝过程 仿射过程 移民 白噪声 Poisson随机测度 波动极限定理 

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