Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps

Proceedings Mathematical Sciences

Xiaoguang Wang¹  Fei Yang² 

[1] Department of Mathematics, Zhejiang University, Hangzhou 00, People’s Republic of China$$;Department of Mathematics, Nanjing University, Nanjing 00, People’s Republic of China$$

关键词: Hausdorff dimension;    Julia sets;    McMullen maps.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We give an asymptotic formula of the Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps $f_{𝜆}(z) = z^{d} + 𝜆/z^{d}$, where 𝑑 ≥ 3 and 𝜆 is small.

【 授权许可】

Unknown