A note on a quadratic rational map with two Siegel disks

Authors
Shen, Liang Wu, Sheng Jian
Citation
Shen, Liang et Wu, Sheng Jian, A note on a quadratic rational map with two Siegel disks, Acta mathematica Sinica. English series (Print) , 26(7), 2010, pp. 1393-1402
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
7
Year of publication
2010
Pages
1393 - 1402
Database
ACNP
SICI code
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.