【摘要】 给出近几年来在分枝马氏过程与超过程的极限理论方面得到的部分结果.主要包括分枝机制满足二阶矩条件的分枝Hunt过程的中心极限定理;分枝机制满足二阶矩条件的一般超过程的中心极限定理;分枝机制是空间齐次的稳定分枝机制的超OU过程的中心极限定理.文章同时涉及到大数律结果.更多还原

【Abstract】 Some results on limit theorems for branching Markov processes and superprocesses that we have obtained in recent years are described.These include central limit theorems for branching Hunt processes with general branching mechanisms having finite second moment, central limit theorems for superprocesses with general branching mechanisms having finite second moment,and central limit theorems for super Ornstein-Uhlenbeck processes with spatially homogeneous branching mechanisms.The law of large numbers are also involved.更多还原