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arXiv · 2205.04994

Relations between Escape Regions in the Parameter Space of Cubic Polynomials

Araceli Bonifant·Chad Estabrooks·Thomas Sharland
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Abstract

We describe a topological relationship between slices of the parameter space of cubic maps. In the paper \cite{CP1}, Milnor defined the curves $\mathcal{S}_n$ as the set of all cubic polynomials with a marked critical point of period $p$. In this paper, we will describe a relationship between the boundaries of the connectedness loci in the curves $\mathcal{S}_1$ and $\mathcal{S}_2$.

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Araceli Bonifant, Chad Estabrooks, Thomas Sharland. 2022-05-10. Relations between Escape Regions in the Parameter Space of Cubic Polynomials. https://arxiv.org/abs/2205.04994

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