3 papers
math.DS2026
Rational maps with Cantor bubble Julia sets
Xiaole He, Yingqing Xiao, Fei Yang
It has been shown that Cantor bubble Julia sets can appear in the dynamics of polynomials and their singular perturbations. In this paper, we present a criterion that guarantees th…
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…