Rigidity of McMullen Julia sets

Yan Gao, Luxian Yang, Jinsong Zeng

We provide a complete quasisymmetric classification of the Julia sets of postcritically finite McMullen maps $f_{\lambda }(z)=z^n+\lambda /z^n$ with $\lambda \in {\mathbb{C}}^{\ast }$ and $n\ge 2$, and prove tha…