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Results tagged with billiards
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user 12334
Billiards are a class of dynamical systems in which a point particle moves uniformly in a domain $D\subset \mathbb{R}^d$ except for mirror-like reflections from the boundary. Varying $D$ leads to examples satisfying many ergodic properties. Billiards enhance visual explanations of dynamical concepts to students and the general public. There are many applications in physics and image processing. The free motion and/or reflection rule may be generalized.
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Billiards with incompatible regions
My question is about the following set of strong counter-examples: two-dimensional billiards that contain a pair of open regions that are incompatible, in that no orbit intersects both regions. … Are there known examples of billiards where this property is robust under arbitrary small perturbations of the boundary? …
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