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arXiv · 1512.05144

A new geometric characterization of the Julia set

Xiao Yao·Daochun Sun·Zuxing Xuan
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Abstract

This article concerns a new geometric characterization of the Julia set. By using Ahlfors-Shimizu's characteristic, we establish some growth results which indicates the characterization of the Julia set. The main technique is to estimate the lower bound of $S(f^n,U)$, where $U$ is an open neighbourhood of some point in $\mathcal{J}(f)$.

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Xiao Yao, Daochun Sun, Zuxing Xuan. 2015-12-16. A new geometric characterization of the Julia set. https://arxiv.org/abs/1512.05144

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