EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE

doi:10.1016/S0252-9602(07)60047-2

数学物理学报(英文版)

EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE

夏红强; 葛云飞; 张正杰

武汉科技学院数理系, 武汉 430073; 中国科学院武汉物理与数学研究所, 武汉 430071

收稿日期:2005-10-11 修回日期:2006-04-11 出版日期:2007-07-20 发布日期:2007-07-20
通讯作者: 夏红强
基金资助:
This work is supported by the National Natural Science Foundation of China (10571174)

EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE

Xia Hongqiang; Ge Yunfei; Zhang Zhengjie

Department of Mathematics and Physics, Wuhan University of Science and Engineering, No.1 Fangzhi Road, Wuhan 430073, China;
Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China

Received:2005-10-11 Revised:2006-04-11 Online:2007-07-20 Published:2007-07-20
Contact: Xia Hongqiang

摘要/Abstract

摘要：

The authors consider the billiard system with finitely many convex scatters with smooth boundary satisfying the visibility assumption on the plane and prove that the closed orbits for the billiard flow is uniformly distributed.

关键词: Billiard flows, periodic orbits, symbolic dynamics, Ruelle zeta function

Abstract:

Key words: Billiard flows, periodic orbits, symbolic dynamics, Ruelle zeta function

中图分类号:

37D50

夏红强; 葛云飞; 张正杰. EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE[J]. 数学物理学报(英文版), 2007, 27(3): 465-472.

Xia Hongqiang; Ge Yunfei; Zhang Zhengjie. EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE[J]. Acta mathematica scientia,Series B, 2007, 27(3): 465-472.

EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE

EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE

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