Hausdorff dimension of quadratic rational Julia sets

被引：0
|
作者：
Jia Zhou
Liang Wen Liao
机构：
[1] Nanjing University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2014年 / 30卷
关键词：
Shallow; Julia sets; quadratic rational map; Hausdorff dimension; 37F10; 58F23; 30D05;
D O I：
暂无
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学科分类号：
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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页码：331 / 342
页数：11
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