一类测度值分支过程的不变特性

The Invariant Characters of one Class of Measure-valuedBranching Processes

英文关键词:measure-valued branching Processes  translation- invariant  invariant mea-sure  relatively invariant processes.

中文摘要:

      空间齐次性是Ｒ^ｄ上Ｌｅｖｙ过程的一个重要特性，本文考虑超Ｌｅｖｙ过程的类似性质，即是分布意义下的平移不变性，并且对一类特殊的测度值分支过程当其初始测度是Ｌｅｎｓｇｕｅ测度时，得到了更强的结果．

英文摘要:

      The spatial homogeneity is an important character for Levy-processes on Eu-clidean space R^ｄ.The analogy for the Measure-valued branchinng processes over LevyProcesses (also called Super-Levy processes) will be discussed in this paper. That is thetranslation-invariaut in the sense of distributions. Moreover some stronger results arealso derived for the special Measure-valued branching processes when their initial mea-sures are given by the Lebesguc measure.