A Note on a Quadratic Rational Map with Two Siegel Disks

A Note on a Quadratic Rational Map with Two Siegel Disks

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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.

作者 Liang SHEN Sheng Jian WU

机构地区 Department of Mathematics LMAM

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 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

关键词 Hausdorff dimension Siegel disk porous set Hausdorff dimension, Siegel disk, porous set

分类号 O175.5 [理学—基础数学] P283.7 [天文地球—地图制图学与地理信息工程]

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参考文献1

1SHEN Liang LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China.Hausdorff dimension of Julia set of a polynomial with a Siegel disk[J].Science China Mathematics,2006,49(9):1284-1296. 被引量：2

二级参考文献11

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共引文献1

1Jia ZHOU,Liang Wen LIAO.Hausdorf Dimension of Quadratic Rational Julia Sets[J].Acta Mathematica Sinica,English Series,2014,30(2):331-342.

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Acta Mathematica Sinica,English Series

2010年第7期

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A Note on a Quadratic Rational Map with Two Siegel Disks

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