Scaling ratios and triangles in Siegel disks
Scaling ratios and triangles in Siegel disks
Let f (z) = e 2iπθ z + z 2 , where θ is a quadratic irrational.McMullen proved that the Siegel disk for f is self-similar about the critical point.We give a lower bound for the ratio of self-similarity, and we show that if θ = ( √ 5 -1)/2 …