Timeline for Upper bound of the kissing number in n dimensions
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 9, 2017 at 13:08 | vote | accept | Sebastien Palcoux | ||
| Oct 5, 2017 at 11:43 | comment | added | Henry Cohn | That sequence probably isn’t always decreasing (for example, from 23 to 24 it seems not to be). As for $\sqrt{5}$, I haven’t looked at the numbers carefully, but it sounds plausible. Kabatiansky-Levenshtein will certainly prove this for high enough dimensions, and I believe other upper bounds will cover all the remaining cases before that bound kicks in (but I haven’t looked at this carefully, so I’m not as confident as for $\sqrt{6}$). | |
| Oct 5, 2017 at 11:19 | comment | added | Sebastien Palcoux | Can we expect $(\tau_n^{1/n})_{n \ge 2}$ to be decreasing ? | |
| Oct 5, 2017 at 11:09 | comment | added | Sebastien Palcoux | Do you think that $\sqrt{5}$ is provable as well in dimension $ \ge 4$ ? | |
| Oct 4, 2017 at 18:39 | history | answered | Henry Cohn | CC BY-SA 3.0 |