Correlations for pairs of periodic trajectories for open billiards

被引：11
|
作者：
Petkov, Vesselin [1 ]
Stoyanov, Luchezar [2 ]
机构：
[1] Univ Bordeaux 1, Inst Math Bordeaux, F-33405 Talence, France
[2] Univ Western Australia, Sch Math & Stat, Perth, WA 6009, Australia
来源：
NONLINEARITY | 2009年 / 22卷 / 11期
关键词：
ORBITS; BOUNDS; DECAY; FLOWS;
D O I：
10.1088/0951-7715/22/11/005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove two asymptotic estimates for pairs of closed trajectories for open billiards similar to those established by Pollicott and Sharp ( 2006 Invent. Math. 163 10-24) for closed geodesics on negatively curved compact surfaces. The first of these estimates holds for general open billiards in any dimension. The more intricate second estimate is established for open billiards satisfying the so-called Dolgopyat type estimates. This class of billiards includes all open billiards in the plane and open billiards in R-N (N >= 3) satisfying some additional conditions.
引用
收藏
页码：2657 / 2679
页数：23
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