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arXiv · 1805.07921

Large scaled geometry of Julia sets of entire and meromorphic functions

Jun Wang·Xiao Yao
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Abstract

In this paper, we study the large scaled geometric structure of Julia sets of entire and meromorphic functions. Roughly speaking, the structure gives us some asymptotic information about the Julia set near the essential singularity. We will show that part of this structure are determined by the transcendental directions coming from function theoretic point of view.

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Jun Wang, Xiao Yao. 2018-05-21. Large scaled geometry of Julia sets of entire and meromorphic functions. https://arxiv.org/abs/1805.07921

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