Timeline for Hausdorff dimension of the zero set of the gradient of an eikonal function
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 2 at 14:24 | history | bounty ended | Nate River | ||
| Jun 28 at 19:27 | comment | added | Pietro Majer | To avoid the issue of the bound $|g(x)|\le 2x^2$, one may define $g$ as a zig-zag function with $|g'|=1$ bouncing up and down between the graphs of $x^2$ and $-x^2$. | |
| Jun 25 at 10:26 | comment | added | Nate River | And I just now appreciated how natural the use of $g$ is too! | |
| Jun 24 at 22:46 | vote | accept | Nate River | ||
| Jun 24 at 18:56 | comment | added | Pietro Majer | Clever construction! | |
| Jun 24 at 13:56 | history | edited | mlk | CC BY-SA 4.0 |
added 376 characters in body
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| Jun 24 at 13:43 | comment | added | Nate River | I was thinking of how to get it to vanish exactly on a Cantor set, I did not consider using the canonical Lipschitz function that vanishes on the Cantor set, the distance function. Nice! | |
| Jun 24 at 12:32 | history | answered | mlk | CC BY-SA 4.0 |