Timeline for Concentration of measure for arbitrary convex bodies?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 14, 2011 at 14:57 | vote | accept | Joseph O'Rourke | ||
| Jun 14, 2011 at 14:29 | answer | added | Mark Meckes | timeline score: 11 | |
| Jun 13, 2011 at 17:14 | answer | added | Gil Kalai | timeline score: 5 | |
| Jun 12, 2011 at 2:18 | comment | added | Joseph O'Rourke | @Aaron: Perhaps the $n$-cube? My intuition may be all wrong, but I sense that is the extreme case, the most "anti-sphere," at least among the centro-symmetric bodies. | |
| Jun 11, 2011 at 22:34 | comment | added | Aaron Meyerowitz | Here is a question: is there any convex body in $\mathbb{R}^n$ which is less concentrated than an $n$-sphere? Maybe the answer is of course there is, but I do not immediately see it. | |
| Jun 11, 2011 at 19:28 | comment | added | Joseph O'Rourke | @Piero: I see. You are suggesting that the question doesn't quite make sense in this vague formulation. I'll have to mull that over. Thanks for the comment! | |
| Jun 11, 2011 at 17:35 | comment | added | Piero D'Ancona | Isn't this kind of result an asymptotic one, for large dimension? in that case you should work with a more specific class of bodies, defined for each dimension n | |
| Jun 11, 2011 at 16:46 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |