Back to Boundaries in Billiards

被引:3
|
作者
Bunimovich, Leonid A. [1 ]
Su, Yaofeng [1 ]
机构
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
关键词
DYNAMICAL-SYSTEMS; DECAY; CHAOS;
D O I
10.1007/s00220-024-05002-w
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We prove Poisson limit laws for open billiard systems with holes in the boundary of billiard tables. Traditionally some abstract holes in the phase space of a billiard were studied. Holes in the boundary are of an intrinsic interest for billiard systems, especially for applications. Sinai billiards with or without a finite horizon, diamond billiards, and semi-dispersing billiards are considered. However, the emphasis is on focusing billiards with slow decay of correlations, where various new technical difficulties arise.
引用
收藏
页数:74
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