| 对偶分支过程的遍历及指数遍历性 |
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| 引用本文： | 谷安辉.对偶分支过程的遍历及指数遍历性[J].江西师范大学学报(自然科学版),2008,32(6). |
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| 作者姓名： | 谷安辉 |
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| 作者单位： | 桂林工学院数理系,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金(10661006)资助项目 |
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| 摘 要： | 考虑Markov分支过程的前对偶过程．对偶分支过程，它是一类特殊的具有突变率的人口过程，证明了如果对偶分支过程在满足常返的条件下，它具有遍历及指数遍历性，并给出了该过程的遍历性及指数遍历性的充分必要条件．
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| 关 键 词： | 分支过程 对偶分支过程 遍历性 指数遍历性 |
Ergodicity and Exponential Ergodicity of Pre-Dual Process of MBP |
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| GU An-hui.Ergodicity and Exponential Ergodicity of Pre-Dual Process of MBP[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2008,32(6). |
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| Authors: | GU An-hui |
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| Institution: | Department of Mathematics and Physics;Guilin University of Technology;Guilin Guangxi 541004;China |
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| Abstract: | We consider the pre-dual process of the ordinary Markov Branching Process,it is a special Population process with catastrophe.Under the condition of the recurrence,it has the properties of ergodicity and exponential ergodicity,and we obtain the necessary and sufficient conditions for its ergodicity and exponential ergodicity. |
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| Keywords: | Markov branching processes pre-dual of MBP exponential ergodicity |
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