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

作　　者：SHEN Liang LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China 

出　　处：《Science China Mathematics》2006年第9期1284-1296,共13页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant No.10231040);the Doctoral Education Program Foundation of China.

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.

关 键 词：Hausdorff dimension Siegel disk porous set 

分 类 号：O153.4[理学—数学]