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 $f_{\hat{I}}»(z)=z^n+\hat{I}»/z^n$ with $\hat{I}»\in {\mathbb{C}}^{\ast }$ and $n\ge 2$, and prove…