Large scaled geometry of Julia sets of entire and meromorphic functions
Dynamical Systems
2018-05-22 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.1805.07921,
title = {Large scaled geometry of Julia sets of entire and meromorphic functions},
author = {Jun Wang and Xiao Yao},
journal= {arXiv preprint arXiv:1805.07921},
year = {2018}
}
Comments
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