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arXiv · 1204.1282

The Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps

Fei Yang·Xiaoguang Wang
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Abstract

In this paper, we give a formula of the Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps $f_p(z)=z^Q+p/z^Q$, where $Q\geq 3$ and $p$ is small. This gives a lower bound of the Hausdorff dimension of the Julia sets of McMullen maps in the special cases.

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Fei Yang, Xiaoguang Wang. 2012-04-05. The Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps. https://arxiv.org/abs/1204.1282

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