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Results tagged with billiards
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user 11028
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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Raphael Douady's thesis: Applications du théorème des tores invariants
According to the descriptions in various references, he lowers the regularities for Moser twist mapping theorem and Lazutkin's existence of caustics of strictly convex billiards. …
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