| 黎曼曲面上布朗运动的局部平移正交不变性及其应用 |
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| 引用本文： | 吴春章.黎曼曲面上布朗运动的局部平移正交不变性及其应用[J].厦门大学学报(自然科学版),1990(3). |
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| 作者姓名： | 吴春章 |
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| 作者单位： | 厦门大学数学系 |
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| 摘 要： | 本文将欧氏空间上布朗运动的平移,正交不变性推广到黎曼曲面上,得到局部成立的类似性质,并利用这些结果给出一种黎曼曲面上 Dirichlet问题的概率解法。
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| 关 键 词： | 布朗运动 局部平移不变性 局部正交不变性 |
Local Translation and Orthoconal In variances of Brownian Motiom on Riemann Surfaces and Their Application |
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| Wu Chunzhang Dept. of Math..Local Translation and Orthoconal In variances of Brownian Motiom on Riemann Surfaces and Their Application[J].Journal of Xiamen University(Natural Science),1990(3). |
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| Authors: | Wu Chunzhang Dept of Math |
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| Institution: | Wu Chunzhang Dept. of Math. |
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| Abstract: | In this paper.the first part is mainly devoted to obtain the results that local translation and orthogonal invariances of Brownain motion on Riemann surfaces are true.The second part considering the application,using the results of first part,a probabilitic methord to solve Dirichlet problem on Riemann surfaces is given. |
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| Keywords: | Brownian motion Local translation and orthogonal invariances |
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