More ergodic billiards with an infinite cusp
Marco Lenci
Abstract
In a previous paper (nlin.CD/0107041) 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.
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