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Results tagged with billiards
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user 25511
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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Existence of nonergodic polygonal billiard
But are there examples of irrational polygonal billiards for which the flow is known not to be ergodic ?
EDIT : It is obvious that in this sense every rational polygon is not ergodic. …
