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arXiv · 2312.10929

Capture components of cubic Siegel polynomials

Xiaoguang Wang·Fei Yang
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Abstract

Let $\theta$ be an irrational number of bounded type. We prove that all capture components in the parameter space of cubic polynomials $f_a(z)=e^{2\pi i\theta}z+a z^2+z^3$, where $a\in\mathbb{C}$, are Jordan domains.

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Xiaoguang Wang, Fei Yang. 2023-12-18. Capture components of cubic Siegel polynomials. https://arxiv.org/abs/2312.10929

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