Journal article
Scaling Ratios and Triangles in Siegel Disks
Let f(z)=e^{2i\pi \theta} + z^2, where \theta is a quadratic irrational. McMullen proved that the Siegel disk for f is self-similar about the critical point, and we show that if \theta = (\sqrt{5}-1)/2 is the golden mean, then there exists a triangle contained in the Siegel disk, and with one vertex at the critical point.
This answers a 15 years old conjecture
Language: | English |
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Year: | 1999 |
Pages: | 293-305 |
ISSN: | 1945001x and 10732780 |
Types: | Journal article |
DOI: | 10.4310/MRL.1999.v6.n3.a4 |
ORCIDs: | Henriksen, Christian |