Billiards in L-Shaped Tables with Barriers

被引:0
|
作者
Matt Bainbridge
机构
[1] Indiana University,Department of Mathematics
[2] University of Aarhus,Department of Mathematical Sciences
来源
关键词
Rational billiards; Hilbert modular varieties; moduli of curves; Primary 32G15; Secondary 30F30; 11F41; 37D50;
D O I
暂无
中图分类号
学科分类号
摘要
We compute the volumes of the eigenform loci in the moduli space of genus-two Abelian differentials. From this, we obtain asymptotic formulas for counting closed billiards paths in certain L-shaped polygons with barriers.
引用
收藏
页码:299 / 356
页数:57
相关论文
共 50 条
  • [1] BILLIARDS IN L-SHAPED TABLES WITH BARRIERS
    Bainbridge, Matt
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2010, 20 (02) : 299 - 356
  • [2] Erratum to: Billiards in L-Shaped Tables with Barriers
    Matt Bainbridge
    Geometric and Functional Analysis, 2010, 20 : 1306 - 1306
  • [3] BILLIARDS IN L-SHAPED TABLES WITH BARRIERS (vol 20, pg 299, 2010)
    Bainbridge, Matt
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2010, 20 (05) : 1306 - 1306
  • [4] LONG HITTING TIME FOR TRANSLATION FLOWS AND L-SHAPED BILLIARDS
    Kim, Dong Han
    Marchese, Luca
    Marmi, Stefano
    JOURNAL OF MODERN DYNAMICS, 2019, 14 : 291 - 353
  • [5] Overturning stability of L-shaped rigid barriers subjected to rockfall impacts
    Carlos Lam
    Arnold C. Y. Yong
    Julian S. H. Kwan
    Nelson T. K. Lam
    Landslides, 2018, 15 : 1347 - 1357
  • [6] Overturning stability of L-shaped rigid barriers subjected to rockfall impacts
    Lam, Carlos
    Yong, Arnold C. Y.
    Kwan, Julian S. H.
    Lam, Nelson T. K.
    LANDSLIDES, 2018, 15 (07) : 1347 - 1357
  • [7] L-Shaped Lipothighplasty
    Bracaglia, Roberto
    Tambasco, Damiano
    Gentileschi, Stefano
    D'Ettorre, Marco
    ANNALS OF PLASTIC SURGERY, 2015, 75 (03) : 261 - 265
  • [8] Characteristics and outcomes of L-shaped and reverse L-shaped rotator cuff tears
    Lee, K. J.
    Kim, Y. T.
    Choi, M.
    Kim, S. H.
    BONE & JOINT JOURNAL, 2022, 104B (03): : 394 - 400
  • [9] On vibrations of L-shaped regions
    Gottlieb, HPW
    JOURNAL OF SOUND AND VIBRATION, 2001, 246 (02) : 387 - 388
  • [10] L-SHAPED SCAR IN MAMMAPLASTY
    ELBAZ, JS
    VERHEECKE, G
    ANNALES DE CHIRURGIE PLASTIQUE, 1972, 17 (04): : 283 - 288