| 一类弥散台球流的闭轨道分布 |
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| 引用本文： | 夏红强.一类弥散台球流的闭轨道分布[J].数学学报,2007,50(5):1111-111. |
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| 作者姓名： | 夏红强 |
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| 作者单位： | 武汉科技学院数理系 武汉 |
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| 基金项目： | 国家自然科学基金(10571174) |
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| 摘 要： | 考虑三维空间中满足可视条件的、具有光滑边界的有限个散射体组成的区域中的台球流,给出了具有碰撞数为偶数的闭轨道条数的渐近分布.
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| 关 键 词： | 台球流 符号动力学 动力学zeta函数 |
| 文章编号： | 0583-1431（2007）05-1111-06 |
| 收稿时间： | 2006-2-28 |
| 修稿时间： | 2006-02-28 |
Distribution of Closed Orbits for a Class of Dispersing Billiards |
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| Hong Qiang XIA.Distribution of Closed Orbits for a Class of Dispersing Billiards[J].Acta Mathematica Sinica,2007,50(5):1111-111. |
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| Authors: | Hong Qiang XIA |
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| Institution: | Department of Mathematics and Physics, Wuhan University of Science and Engineering, Wuhan 430073, P. R. China |
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| Abstract: | We consider the billiard flows in R~3 with finitely many scatters with smooth boundary satisfying the visibility assumption and describe the asymptotic behavior of the distribution of closed orbits with an even collision number. |
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| Keywords: | billiard flow symbolic dynamics dynamical zeta function |
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