EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE

Xia Hongqiang; Ge Yunfei; Zhang Zhengjie

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

Acta mathematica scientia, Series B >

2007 , Vol. 27 >Issue 3: 465 - 472

DOI: https://doi.org/10.1016/S0252-9602(07)60047-2

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EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE

Xia Hongqiang ,
Ge Yunfei ,
Zhang Zhengjie

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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 date: 2005-10-11

Revised date: 2006-04-11

Online published: 2007-07-20

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Abstract

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.

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

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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 . DOI: 10.1016/S0252-9602(07)60047-2

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