Timeline for Is the area of the Mandelbrot set known?
Current License: CC BY-SA 4.0
8 events
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Sep 5, 2023 at 17:07 | comment | added | Jason Rute | I think to compute the area, we need not only that the boundary is zero, but also that we know how to enumerate all of the interior of the Mandelbrot set, which at least a decade ago we didn't know how to do without assuming the interior is only made of hyperbolic components. | |
Sep 2, 2023 at 17:15 | comment | added | Carlo Beenakker | I have removed the accuracy claim, I understand this is based on unproven assumptions on the boundary contribution to the area. | |
Sep 2, 2023 at 17:13 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Sep 2, 2023 at 16:43 | comment | added | LSpice | Obviously the estimate is consistent with the given bounds, but what is its status otherwise? That is, is it known correct to 5 significant figures (in which case why are the bounds needed?), or just a guess? | |
Sep 2, 2023 at 13:55 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Sep 2, 2023 at 13:29 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Sep 2, 2023 at 13:05 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Sep 2, 2023 at 12:57 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |