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arXiv:1512.05144 [math.DS]AbstractReferencesReviewsResources

A new geometric characterization of the Julia set

Xiao Yao, Daochun Sun, Zuxing Xuan

Published 2015-12-16Version 1

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 $\mathcal{J}(f)$.

Comments: 20 pages
Categories: math.DS
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