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
相关论文
共 50 条
  • [21] Physical versus mathematical billiards: From regular dynamics to chaos and back
    Bunimovich, L. A.
    CHAOS, 2019, 29 (09)
  • [22] Boundaryless Careers: Bringing Back Boundaries
    Inkson, Kerr
    Gunz, Hugh
    Ganesh, Shiv
    Roper, Juliet
    ORGANIZATION STUDIES, 2012, 33 (03) : 323 - 340
  • [23] Users fight back by breaking the boundaries
    Simmonds, Paul
    Network Security, 2005, 2005 (06) : 4 - 6
  • [24] Superdiffusion in 2D open-horizon billiards with stochastically oscillating boundaries
    Loskutov, Alexander
    Chichigina, Olga
    Krasnova, Alexandra
    Sokolov, Igor M.
    EPL, 2012, 98 (01)
  • [25] COMPLEX BILLIARDS AND SOFT BILLIARDS
    MONDRAGON, RJ
    PERCIVAL, IC
    PHYSICS LETTERS A, 1991, 158 (08) : 377 - 384
  • [26] Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries
    Albeverio, S
    Galperin, G
    Nizhnik, IL
    Nizhnik, LP
    REGULAR & CHAOTIC DYNAMICS, 2005, 10 (03): : 285 - 306
  • [27] PUSHING BACK THE BOUNDARIES OF PWR FUEL PERFORMANCE
    SOFER, GA
    SKOGEN, FB
    BROWN, CA
    FRESK, YU
    NUCLEAR ENGINEERING INTERNATIONAL, 1985, 30 (371): : 31 - 33
  • [28] CALCULATION OF BUFFET BOUNDARIES OF SWEPT BACK WINGS
    REDEKER, G
    ZEITSCHRIFT FUR FLUGWISSENSCHAFTEN, 1973, 21 (10): : 345 - 359
  • [29] Billiards
    Hoberman, Mara
    ARTFORUM INTERNATIONAL, 2022, 60 (10): : 246 - 247
  • [30] Risk for schizophrenia - broadening the concepts, pushing back the boundaries
    Cannon, M
    Clarke, MC
    SCHIZOPHRENIA RESEARCH, 2005, 79 (01) : 5 - 13