| 双曲空间上的超过程 |
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| 引用本文： | 唐加山.双曲空间上的超过程[J].南京邮电大学学报(自然科学版),2000,20(3):89-94. |
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| 作者姓名： | 唐加山 |
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| 作者单位： | 南京邮电学院应用数理系,江苏南京,210003 |
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| 摘 要： | 首先介绍了超过程的有关内容，然后讨论了双曲空间及欧氏空间上超布朗运动的一些性质，得出了超过程的性质不仅与底过程和分支特征有关，而且也与底空间(底过程的状态空间)的几何结构有着密切的联系。同时还列举了一些未解决的问题。
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| 关 键 词： | 超过程 底空间 双曲空间 |
| 文章编号： | 1000-1972(2000)03-0089-06 |
| 修稿时间： | 1999-10-21 |
Superprocesses on Hyperbolic Space |
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| TANG Jia-shan.Superprocesses on Hyperbolic Space[J].Journal of Nanjing University of Posts and Telecommunications,2000,20(3):89-94. |
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| Authors: | TANG Jia-shan |
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| Institution: | TANG Jia-shan
;( Department of Applied Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China) |
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| Abstract: | Following a brief introduction to superproccesses,a discussion is devoted to the properties of super Brownian motions on hyperbolic space.It is revealed that the properties of superprocesses are closely related to underlying process and branching mechanism as well as the geometric structure of the underlying state space.Some open problems are also presented. |
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| Keywords: | Superprocess Underlying space Hyperbolic space |
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