广义分支过程矩阵生成的积分半群及其性质(英文)  

Integrated Semigroups Generated by Generalized Branching Processes

作　　者：常小新[1] 李杨荣[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2008年第8期36-41,共6页Journal of Southwest University(Natural Science Edition)

摘　　要：探讨了广义分支过程矩阵在向量空间l∞生成正压缩积分半群的充分必要条件.并且进一步讨论了该积分半群的次随机单调性和Feller性质.This paper concentrates on investigating the condition on which q-matrix Q for generalized branching processes generates a positive once integrated semigroup of contractions on l∞, and a necessary and sufficient condi tion is obtained. Some basic properties of the integrated semigroups generated by them, i.e. stochastic sub-monoto ny and Feller property, are discussed.

关 键 词：分支过程 复活的广义分支过程 MARKOV积分半群 次随机单调性 Feller性质 

分 类 号：O177.92[理学—数学] O211.65[理学—基础数学]