Hausdorf Dimension of Quadratic Rational Julia Sets

被引：0

作者：

Jia ZHOU ^{[1
]}

Liang Wen LIAO ^{[1
]}

机构：

[1] Department of Mathematics,Nanjing University

来源：

Acta Mathematica Sinica,English Series | 2014年 / 30卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Shallow; Julia sets; quadratic rational map; Hausdorf dimension;

D O I：

暂无

中图分类号：

O144 [集合论];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose a quadratic rational map has a Siegel disk and a parabolic fxed 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 Hausdorf dimension is strictly less than two.

引用

页码：331 / 342

页数：12

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