Timeline for Random N-body problem
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 20, 2017 at 10:38 | comment | added | Joseph O'Rourke | "For N≥4, this appears to be an open problem." I tagged it as an open problem. Thanks. | |
| Jun 20, 2017 at 10:37 | vote | accept | Joseph O'Rourke | ||
| Jun 19, 2017 at 2:11 | history | edited | user21349 | CC BY-SA 3.0 |
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| Jun 18, 2017 at 23:15 | history | edited | user21349 | CC BY-SA 3.0 |
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| Jun 18, 2017 at 23:12 | comment | added | user21349 | @JosephO'Rourke: If I'm interpreting the scholarpedia article correctly, then a figure-eight configuration "looks to be" stable for $N=3$ for small perturbations. That means that you have bound states that occupy a region of phase space with nonvanishing volume. That is, stable <=> nonzero probability. From their wording, it sounds like stability hasn't actually been rigorously proved. | |
| Jun 18, 2017 at 23:08 | comment | added | Joseph O'Rourke | Thanks for your knowledgeable response! For $N=3$, wouldn't those special $8$-configurations occur with probability zero? Of course I am more interested in $\mathbb{R}^3$ than $\mathbb{R}^2$. | |
| Jun 18, 2017 at 21:25 | history | edited | user21349 | CC BY-SA 3.0 |
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| Jun 18, 2017 at 21:17 | history | answered | user21349 | CC BY-SA 3.0 |