Timeline for Apollonian gasket and the degree of convergence
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jan 17, 2013 at 20:30 | vote | accept | Stas Kuznetsov | ||
| Jan 17, 2013 at 15:13 | history | edited | Gerald Edgar | CC BY-SA 3.0 |
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| Jan 17, 2013 at 14:58 | comment | added | Gerald Edgar | You get the same critical value with different starting curvatures. Maybe it is the 1.02 I was thinking of when I said it was hard to tell if it was ${}>1$. | |
| Jan 17, 2013 at 3:59 | comment | added | ARupinski | I don't have mathscinet access right now so I can't look in the paper, but is that critical value special to the (1,2,2)-gasket in the question or is it independent of the specific set of curvatures in the gasket? | |
| Jan 17, 2013 at 3:52 | comment | added | Rodrigo A. Pérez | @Anthony: I would be very interested in a citation for both assertions. | |
| Jan 17, 2013 at 3:48 | comment | added | Anthony Quas | This number is also the Hausdorff dimension of the complementary set when the disks are removed. It is an open question on what the smallest Hausdorff dimension of a residual set is, but there is a lower bound due to Larman of 1.02? | |
| Jan 17, 2013 at 2:20 | history | edited | Gerald Edgar | CC BY-SA 3.0 |
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| Jan 17, 2013 at 2:09 | history | answered | Gerald Edgar | CC BY-SA 3.0 |