Hausdorf Dimension of Quadratic Rational Julia Sets
Hausdorf Dimension of Quadratic Rational Julia Sets作者机构：Department of MathematicsNanjing University
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)
年 卷 期：2014年第30卷第2期
页 面：331-342页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：Supported by National Natural Science Foundation of China(Grant Nos.10871089 and 11271179)
主 题：Shallow Julia sets quadratic rational map Hausdorff dimension
摘 要：Suppose a quadratic rational map has a Siegel disk and a parabolic fixed point. If the rotation number of the Siegel disk is an irrational of bounded type, then the Julia set of the map is shallow. This implies that its Hausdorff dimension is strictly less than two.
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