Timeline for Integrability of log of distance function
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Sep 17, 2019 at 14:52 | comment | added | Yuval Peres | @Iosif Yes, there are. | |
Sep 17, 2019 at 14:24 | comment | added | Iosif Pinelis | The integral is $>-\infty$ if $E$ is the Cantor set. Are there compact sets of zero Lebesgue measure that are much bigger than the Cantor set? | |
Sep 17, 2019 at 14:18 | comment | added | Iosif Pinelis | @Dirk : This is what I am thinking about now. :-) | |
Sep 17, 2019 at 14:16 | comment | added | Dirk | You answered the question somehow, but I think the problem occurs where $d(x,E)$ is small, so integrability is still an issue (i.e. the problem is if the integral exists since it may be $-\infty$ )… | |
Sep 17, 2019 at 13:50 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |