More Ergodic Billiards with an Infinite Cusp
نویسنده
چکیده
In [Le2] the following class of billiards was studied: For f : [0,+∞) −→ (0,+∞) convex, sufficiently smooth, and vanishing at infinity, let the billiard table be defined by Q, the planar domain delimited by the positive x-semiaxis, the positive y-semiaxis, and the graph of f . For a large class of f we proved that the billiard map was hyperbolic. Furthermore we gave an example of a family of f that makes this map ergodic. Here we extend the latter result to a much wider class of functions. Mathematics Subject Classification: 37D50, 37D25, 37A40.
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