| 黎曼流形上布朗运动关于测地球击中时的矩 |
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| 引用本文： | 欧阳顺湘.黎曼流形上布朗运动关于测地球击中时的矩[J].曲阜师范大学学报,2007,33(1):1-4. |
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| 作者姓名： | 欧阳顺湘 |
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| 作者单位： | 北京师范大学数学科学学院 100875北京市 |
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| 摘 要： | 主要给出了旋转对称流形上布朗运动关于测地球面的首中时、球壳的首出时的各阶矩的迭代积分公式.估计了一般黎曼流形上的布朗运动关于球面击中时的各阶矩.
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| 关 键 词： | 击中时 布朗运动 旋转对称 黎曼流形 矩 |
| 文章编号： | 1001-5337（2007）01-0001-04 |
| 修稿时间： | 2006-05-10 |
Moments of Hitting Time of Geodesic Sphere by Brownian Motion on Riemannian Mannifolds |
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| OUYANG Shun-xiang.Moments of Hitting Time of Geodesic Sphere by Brownian Motion on Riemannian Mannifolds[J].Journal of Qufu Normal University(Natural Science),2007,33(1):1-4. |
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| Authors: | OUYANG Shun-xiang |
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| Institution: | School of Mathematical Sciences, Beijin Normal University, 100875, Beijing, PRC |
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| Abstract: | Explicit iterated integral formulae of the moments in various order of the hitting times of geodesic spheres by Brownian motions on rotationally symmetric manifolds are given in this paper.Estimations of the moments of the hitting time by Brownian motions on general Riemannian manifolds are also obtained. |
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| Keywords: | hitting time Brownian motion rotationally symmetric Riemannian manifolds moments |
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