| 一般介质下的超过程的研究 |
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| 引用本文： | 王永进. 一般介质下的超过程的研究[J]. 数学学报, 1998, 41(1): 0127-0136. DOI: cnki:ISSN:0583-1431.0.1998-01-016 |
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| 作者姓名： | 王永进 |
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| 作者单位： | 南开大学数学系 |
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| 摘 要： | 本文考虑一般介质作用下的分枝粒子系统，进而建立了一类比较广泛分枝机制下的超布朗运动．同时本文研究了这类超过程的轨道性质．亦即证明了其轨道连续性和局部绝对连续性
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| 关 键 词： | 粒子系统，连续可加泛函，超过程，轨道连续性，局部绝对连续性 |
| 收稿时间： | 1996-09-02 |
An Approach to the Superprocesses with Generalized Catalysts |
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| Wang Yongjin. An Approach to the Superprocesses with Generalized Catalysts[J]. Acta Mathematica Sinica, 1998, 41(1): 0127-0136. DOI: cnki:ISSN:0583-1431.0.1998-01-016 |
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| Authors: | Wang Yongjin |
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| Affiliation: | Wang Yongjin (Department of Mathematics, Nankai University, Tianjin 300071, China) |
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| Abstract: | In this paper, we consider the particle systems with generalized catalysts and establish a class of Super Brownian motions under more extensive branching mechanisms. Meanwhile, we also approach the path properties of the superprocesses, and the path continuity as well as the locally absolute continuity of the superprocesses are verified. |
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| Keywords: | Particle system Continuous additive function Superprocess Sample path continuity Locally absolute continuity |
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