Abstract
Suppose f(z) is a quadratic rational map with two Siegel disks. If the rotation numbers of the Siegel disks are both of bounded type, the Hausdorff dimension of the Julia set satisfies Dim (J(f) < 2.
| Original language | English |
|---|---|
| Pages (from-to) | 1393-1402 |
| Number of pages | 10 |
| Journal | Acta Mathematica Sinica, English Series |
| Volume | 26 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jul 2010 |
Keywords
- Hausdorff dimension
- Porous set
- Siegel disk