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Results tagged with billiards
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user 1441
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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Light rays bouncing in twisted tubes
Q1. No.
The projection of the ray to the curve $c(t)$ has to be monotonic.
In particular, no ray can come back, but some ray might stay in the tube forever.
Construction. The curve and ray will be fl …
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