Timeline for Well-definedness of single-particle smooth billiards flow
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 22, 2015 at 21:08 | comment | added | Matthias Ludewig | Douglas, I just noticed this post, and I would be very much interested in your counterexample in the case of a smooth boundary but non-vanishing curvature. I asked a similar question today: mathoverflow.net/questions/203620/… | |
| Jan 4, 2014 at 20:34 | history | edited | Douglas Zare | CC BY-SA 3.0 |
Added nonvanishing curvature condition.
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| Jan 4, 2014 at 19:36 | comment | added | Douglas Zare | @Carl: Good point. I think I can construct an example of a catastrophe with a smooth boundary and curvature going to $0$. | |
| Jan 4, 2014 at 19:14 | comment | added | user25199 | In addition to derivatives, Halpern assumes "nowhere vanishing curvature". So he does not appear to rule out the possibility that a catastrophe might exist if the curvature goes smoothly to zero. | |
| Jan 4, 2014 at 15:57 | vote | accept | James Propp | ||
| Jan 4, 2014 at 3:13 | comment | added | Andy Putman | That's really lovely! Somehow I had always assumed that such things could not happen, but the construction is remarkably simple... | |
| Jan 4, 2014 at 2:08 | history | answered | Douglas Zare | CC BY-SA 3.0 |