Polynomial-like semi-conjugates of the shift map

Details Polynomial-like semi-conjugates of the shift map Polynomial-like semi-conjugates of the shift map

2009-12-21

arxiv.org/abs/0912.4181v1

Mathematics

Dynamical Systems

9 pages

Scientific paper

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.

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