| 带移民分枝粒子系统的结构 |
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| 引用本文： | 向开南 李占柄. 带移民分枝粒子系统的结构[J]. 北京师范大学学报(自然科学版), 1997, 33(2): 158-162 |
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| 作者姓名： | 向开南 李占柄 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 研究了带移民分枝粒子系统的结构，证明了伴随带移民分枝粒子系统对所应的伴随积半群可以由分枝粒子系统的无穷可分概率进入律来刻画，分枝粒子系统的局部可积Ｐｏｉｓｓｏｎｃｌｕｓｔｅｒ概率进入律的某个子类，可与底过程的可积进入律存在一一对应关系。
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| 关 键 词： | 分枝粒子系统 伴随卷积半群 超过程 |
THE STRUCTURES STRUCTURES OF THE BRANCHING PARTICLE SYSTEMS WITH IMMIGRATION |
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| Xiang Kainan, Li Zhanbing. THE STRUCTURES STRUCTURES OF THE BRANCHING PARTICLE SYSTEMS WITH IMMIGRATION[J]. Journal of Beijing Normal University(Natural Science), 1997, 33(2): 158-162 |
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| Authors: | Xiang Kainan Li Zhanbing |
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| Abstract: | Two results are given. One is that every associated convolution semigroup can be determined by an infinitely divisible probability entrance law of the branching particle systems; the other is that there exists an one-to-one correspondence between a subset of poisson duster probability entrance laws of the branching particle systems and entrance laws of the underlying process. |
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| Keywords: | branching particle system associated convolution semigroup entrance law |
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