Timeline for Billiard dynamics for multiple balls
Current License: CC BY-SA 3.0
18 events
| when toggle format | what | by | license | comment | |
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| Sep 21, 2017 at 11:02 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Image link broken; now fixed.
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| Mar 10, 2017 at 9:42 | history | edited | CommunityBot |
replaced http://upload.wikimedia.org/ with https://upload.wikimedia.org/
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| Feb 28, 2014 at 9:02 | answer | added | user25199 | timeline score: 5 | |
| Dec 7, 2011 at 4:31 | comment | added | JRN | This might prove useful: Ergodic systems of n balls in a billiard table | |
| Oct 29, 2011 at 17:07 | vote | accept | Joseph O'Rourke | ||
| Oct 29, 2011 at 16:16 | answer | added | Greg Kuperberg | timeline score: 8 | |
| Oct 29, 2011 at 14:27 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Typo.
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| Jun 6, 2011 at 18:15 | comment | added | j.c. | As I understand them, Matt and his collaborators' results don't involve billiard dynamics on the configurations, though undoubtedly they have some bearing on those systems. | |
| Jun 6, 2011 at 18:03 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Corrected Steve's name.
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| Jun 6, 2011 at 17:17 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Addendum from Hard Ball collection.
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| May 25, 2011 at 15:09 | comment | added | Joseph O'Rourke | @Theo: Thanks for the pointer. Matthew "showed that once $r \ge c / n$ the Metropolis Markov chain on configurations of hard discs is no longer ergodic." | |
| May 25, 2011 at 15:06 | comment | added | Steve Huntsman | The phase transition for the Galton board occurs when the radii get to where there aren't infinite ballistic trajectories. | |
| May 25, 2011 at 14:46 | comment | added | Theo Johnson-Freyd | If memory serves, Matt Kahle math.ias.edu/~mkahle has some results concerning your last comment, about the phase transition that occurs when the billiard balls get too large. See for instance his blog article matthewkahle.wordpress.com/2010/02/22/many-markov-components | |
| May 25, 2011 at 14:29 | comment | added | Joseph O'Rourke | @Steve: Great lead! Hard Ball Systems and the Lorentz Gas. I will retrieve that collection from Interlibrary Loan. springer.com/mathematics/probability/book/978-3-540-67620-1 | |
| May 25, 2011 at 13:38 | comment | added | Steve Huntsman | For $n >2$ try looking at "Lorentz gas". | |
| May 25, 2011 at 13:22 | comment | added | Joseph O'Rourke | Thanks, Steve! The "Sinai billiard" seems to answer my specific question for $n=2$. | |
| May 25, 2011 at 12:33 | comment | added | Steve Huntsman | You are probably aware of this, but even so: en.wikipedia.org/wiki/Dynamical_billiards#Sinai_billiard | |
| May 25, 2011 at 11:44 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |