Coding and tiling of Julia sets for subhyperbolic rational maps

Atsushi Kameyama

Let $f:\hat{C}\to \hat{C}$ be a subhyperbolic rational map of degree $d$. We construct a set of coding maps $Cod(f)=\{{\pi }_r:\Sigma \to J{\}}_r$ of the Julia set $J$ by geometric coding trees,…