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math.DS2025
Local connectivity of Julia sets of some transcendental entire functions with Siegel disks
Fei Yang, Gaofei Zhang, Yanhua Zhang
Based on the weak expansion property of a long iteration of a family of quasi-Blaschke products near the unit circle established recently, we prove that the Julia sets of a number…
math.DS2025
Rational maps whose Julia sets are generalized Sierpiński gaskets
Xiaole He, Yingqing Xiao, Fei Yang
It has been shown that the Sierpiński gasket-like sets can appear as the Julia sets of some geometrically finite rational maps. In this paper we prove that such type of Julia sets…