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arXiv · 1710.03955

Hyperbolic components and cubic polynomials

Xiaoguang Wang
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Abstract

In the space of cubic polynomials, Milnor defined a notable curve $\mathcal S_p$, consisting of cubic polynomials with a periodic critical point, whose period is exactly $p$. In this paper, we show that for any integer $p\geq 1$, any bounded hyperbolic component on $\mathcal{S}_p$ is a Jordan disk.

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Xiaoguang Wang. 2017-10-11. Hyperbolic components and cubic polynomials. https://arxiv.org/abs/1710.03955

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