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

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.