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陈丽, 薛玲霞, 刘利敏. 分支机制依赖于种群总数的超过程[J]. 信阳师范学院学报(自然科学版), 2013, 26(2): 173-175. DOI: 10.3969/j.issn.1003-0972.2013.02.005
引用本文: 陈丽, 薛玲霞, 刘利敏. 分支机制依赖于种群总数的超过程[J]. 信阳师范学院学报(自然科学版), 2013, 26(2): 173-175. DOI: 10.3969/j.issn.1003-0972.2013.02.005
shu
Chen Li , Xue Lingxia, Liu Limin. Superprocesses with Branching Mechanism Depending on Population Size[J]. Journal of Xinyang Normal University (Natural Science Edition), 2013, 26(2): 173-175. DOI: 10.3969/j.issn.1003-0972.2013.02.005
Citation: Chen Li , Xue Lingxia, Liu Limin. Superprocesses with Branching Mechanism Depending on Population Size[J]. Journal of Xinyang Normal University (Natural Science Edition), 2013, 26(2): 173-175. DOI: 10.3969/j.issn.1003-0972.2013.02.005
shu

分支机制依赖于种群总数的超过程

Superprocesses with Branching Mechanism Depending on Population Size

    摘要
  • 摘要: 证明了由Méléard和Roelly引入的一类带有交互作用的测度值过程的马尔可夫性质,这种测度值过程被一维扩散的非线性pseudo-log-Laplace函数所刻画;并证明了这种超过程的概率特性

     

    Abstract: The Markovian property of a special class of interactive measure-valued processes constructed by Méléard and Roelly was discussed. These measure-valued processes are characterized by their pseudo-log-Laplace functionals which are the nonlinear functionals of some-1-dimensional diffusions. Furthermore, some probabilistic properties of this kind of superprocesses were given.

     

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