A note on a quadratic rational map with two Siegel disks

作者：Shen, Liang^*; Wu, Sheng Jian

来源：Acta Mathematica Sinica-English Series, 2010, 26(7): 1393-1402.

DOI：10.1007/s10114-010-6611-3

• Hausdorff dimension
• Siegel disk
• porous set

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.

• 出版日期2010-7
• 单位北京大学; 北京理工大学