Timeline for Plane curve with continuously increasing Hausdorff dimension
Current License: CC BY-SA 4.0
2 events
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| Jul 10, 2023 at 12:43 | comment | added | Lasse Rempe | Thank you - we also had a similar construction in mind, using a curve with different angles at a dense set, but did not think of constructing this as a graph of a function - very elegant! We will add a comment on this to the paper at the next revision; I will keep the question open for now as I was hoping that there might be an existing reference. (A small aside: if we are going to prescribe the values of the function at 0 and 1 in order to construct g, then I think we might as well take f(0)=f(1) to begin with, and take the image of the graph under e^{2\pi i z}.) | |
| Jun 23, 2023 at 7:04 | history | answered | Alexandre Eremenko | CC BY-SA 4.0 |