分支机制依赖于种群总数的超过程  

Superprocesses with Branching Mechanism Depending on Population Size

作　　者：陈丽[1] 薛玲霞[2] 刘利敏[3] 

机构地区：[1]郑州师范学院数学与统计学院,河南郑州450044 [2]郑州旅游职业学院,河南郑州450009 [3]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《信阳师范学院学报（自然科学版）》2013年第2期173-175,189,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11001077);河南省软科学研究项目(122400450526)

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.The Markovian property of a special class of interactive measure-valued processes constructed by Meleard 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 prop- erties of this kind of superproeesses were giyen.

关 键 词：超过程 概率测度 鞅问题 

分 类 号：O211.63[理学—概率论与数理统计]