王永进.一类测度值分支过程的不变特性[J].数学研究及应用,1995,15(4):509~516
一类测度值分支过程的不变特性
The Invariant Characters of one Class of Measure-valuedBranching Processes
投稿时间:1993-11-20  
DOI:10.3770/j.issn:1000-341X.1995.04.004
中文关键词:  
英文关键词:measure-valued branching Processes  translation- invariant  invariant mea-sure  relatively invariant processes.
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作者单位
王永进 天津南开大学数学系 
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中文摘要:
      空间齐次性是R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.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.
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