Timeline for Trapped Billiard trajectories on non-convex billiard tables
Current License: CC BY-SA 3.0
4 events
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May 8, 2015 at 14:24 | comment | added | Matthias Ludewig | I know that thread. Douglas Zare claims there that he can construct an example related to the function $e^{-1/x^2}$ but doesn't make it explicit. | |
May 8, 2015 at 8:04 | comment | added | user25199 | See also mathoverflow.net/questions/153521/… | |
Apr 22, 2015 at 20:38 | comment | added | Douglas Zare | The paper you cite has the assumption that the curvature doesn't vanish anywhere. If the curvature at a point doesn't vanish, and the third derivative is bounded in a neighborhood of the point, then no trajectory can get stuck at the point. Global failure of convexity isn't important. So, what remains is to consider the cases where the curvature vanishes. | |
Apr 22, 2015 at 14:49 | history | asked | Matthias Ludewig | CC BY-SA 3.0 |