Timeline for Intersection of IID fractal sets
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
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Jul 18 at 13:18 | vote | accept | Focus | ||
Jul 17 at 20:34 | answer | added | Anthony Quas | timeline score: 3 | |
Jul 17 at 11:49 | history | edited | Focus | CC BY-SA 4.0 |
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Jul 17 at 11:49 | comment | added | Focus | @unwissen Yes, we may assume that they are closed, thanks. | |
Jul 17 at 10:12 | comment | added | unwissen | @Focus Do you assume $A, B$ to be closed or not? I think that may make a difference. Also, could it be that the question is actually more or less "Are there uncountably many disjoint measurable (, ...) subsets of $[0, 1]$ such that everyone of them has Hausdorff dimension $d > 1/2$"? If this is the case, maybe set theorists/logicians know this. | |
Jul 16 at 17:30 | comment | added | Focus | @AnthonyQuas I mean $A$, $B$ are random subsets of $\mathbb R$, independent, and have the same law. | |
Jul 16 at 17:02 | comment | added | Anthony Quas | What do you mean by IID random subset? See the Furstenberg Intersection Conjecture, for a result in this general direction. | |
Jul 16 at 16:25 | history | edited | Focus | CC BY-SA 4.0 |
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Jul 16 at 15:06 | history | asked | Focus | CC BY-SA 4.0 |