Periodic billiard orbits of self-similar Sierpiński carpets
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Publication:488781
DOI10.1016/j.jmaa.2014.03.001zbMath1371.37069arXiv1303.4032OpenAlexW1982838687WikidataQ59461373 ScholiaQ59461373MaRDI QIDQ488781
Robert G. Niemeyer, Joe P. Chen
Publication date: 26 January 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.4032
iterated function systempolygonal billiardfractal billiardbilliard flowlaw of reflectionSierpiński carpet billiard
Related Items (4)
Manhattan property of geodesic paths on self-affine carpets ⋮ GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE ⋮ On the Lipschitz dimension of Cheeger–Kleiner ⋮ Differentiable points of Sierpinski-like sponges
Cites Work
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- Sequences of compatible periodic hybrid orbits of prefractal Koch snowflake billiards
- Topological transitivity of billiards in polygons
- Billiards in polygons: Survey of recent results.
- The geometry and arithmetic of translation surfaces with applications to polygonal billiards
- Rectifiable curves in Sierpinski carpets
- On recurrence and ergodicity for geodesic flows on non-compact periodic polygonal surfaces
- The Current State of Fractal Billiards
- Towards the Koch Snowflake Fractal Billiard: Computer Experiments and Mathematical Conjectures
- Billiards on almost integrable polyhedral surfaces
- An Algorithm for Finding the Veech Group of an Origami
- The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion
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