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math.DS2021★ 3 cited
Local connectivity of Julia sets of some rational maps with Siegel disks
Shuyi Wang, Fei Yang, Gaofei Zhang +1
We prove that a long iteration of rational maps is expanding near boundaries of bounded type Siegel disks. This leads us to extend Petersen's local connectivity result on the Julia…
math.DS2017
Constructing entire functions with non-locally connected Julia set by quasiconformal surgery
Yanhua Zhang, Gaofei Zhang
We give an alternative way to construct an entire function with quasiconformal surgery so that all its Fatou components are quasi-circles but the Julia set is non-locally connected…