A new geometric characterization of the Julia set
Dynamical Systems
2015-12-17 v1
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 , where is an open neighbourhood of some point in .
Keywords
Cite
@article{arxiv.1512.05144,
title = {A new geometric characterization of the Julia set},
author = {Xiao Yao and Daochun Sun and Zuxing Xuan},
journal= {arXiv preprint arXiv:1512.05144},
year = {2015}
}
Comments
20 pages