Hausdorff dimension of Julia set of a polynomial with a Siegel disk

被引：0

作者：

SHEN Liang LMAM

机构：

来源：

Science in China(Series A:Mathematics) | 2006年 / 09期

关键词：

Hausdorff dimension; Siegel disk; porous set;

D O I：

暂无

中图分类号：

O153.4 [域论];

学科分类号：

070104 ;

摘要：

Let f(z) = e2πiθz(1+z/d)d,θ∈R\Q be a polynomial. Ifθis an irrational number of bounded type, it is easy to see that f(z) has a Siegel disk centered at 0. In this paper, we will show that the Hausdorff dimension of the Julia set of f(z) satisfies Dim(J(f))<2.

引用

页码：1284 / 1296

页数：13