%0 Journal Article
%T Polynomial-like semi-conjugates of the shift map
%A Carsten Lunde Petersen
%J Mathematics
%D 2009
%I arXiv
%X In this paper I prove that for a polynomial of degree $d$ with a Cantor Julia set $J$, the Julia set can be understood as the simplest possible quotiont of the one sided shift space $\Sigma_d$ with dynamics given by the shift. Here simplest possible means that, the projection $\pi: \Sigma_d \Rightarrow J$ is as injective as possible.
%U http://arxiv.org/abs/0912.4181v1