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

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/124/04/0551-0562

• # Keywords

Hausdorff dimension; Julia sets; McMullen maps.

• # Abstract

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

• # Author Affiliations

1. Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
2. Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019