A Note on a Quadratic Rational Map with Two Siegel Disks  

作　　者：Liang SHEN Sheng Jian WU 

机构地区：[1]Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China [2]LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第7期1393-1402,共10页数学学报（英文版）

基　　金：Supported by National Science Foundation of China (Grant No. 10671004);the Doctoral Education Program Foundation of China

摘　　要：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.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.

关 键 词：Hausdorff dimension Siegel disk porous set 

分 类 号：O175.5[理学—数学] P283.7[理学—基础数学]