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arXiv · 0912.4181

Polynomial-like semi-conjugates of the shift map

Carsten Lunde Petersen
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Abstract

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 $Σ_d$ with dynamics given by the shift. Here simplest possible means that, the projection $π: Σ_d \Rightarrow J$ is as injective as possible.

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Carsten Lunde Petersen. 2009-12-21. Polynomial-like semi-conjugates of the shift map. https://arxiv.org/abs/0912.4181

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