17 citations · 36 across the 8 of their papers we have counts for
8 papers
Quasisymmetric uniformization and Hausdorff dimensions of Cantor circle Julia sets
Weiyuan Qiu, Fei Yang
For Cantor circle Julia sets of hyperbolic rational maps, we prove that they are quasisymmetrically equivalent to standard Cantor circles (i.e., connected components are round circ…
Quasisymmetric geometry of Sierpinski carpet Julia sets
Weiyuan Qiu, Fei Yang, Jinsong Zeng
In this paper, the main focus is on the Sierpinski carpet Julia sets of the rational maps with non-recurrent critical points. We study the uniform quasicircle property of the perip…
Quasisymmetric geometry of the Cantor circles as the Julia sets of rational maps
Weiyuan Qiu, Fei Yang, Yongcheng Yin
We give three families of parabolic rational maps and show that every Cantor set of circles as the Julia set of a non-hyperbolic rational map must be quasisymmetrically equivalent…
Quasisymmetric geometry of the Julia sets of McMullen maps
Weiyuan Qiu, Fei Yang, Yongcheng Yin
We study the quasisymmetric geometry of the Julia sets of McMullen maps , where , are integers satisfying and $λ\in\mathbb{C}\se…
Rational maps whose Julia sets are Cantor circles
Weiyuan Qiu, Fei Yang, Yongcheng Yin
In this paper, we give a family of rational maps whose Julia sets are Cantor circles and show that every rational map whose Julia set is a Cantor set of circles must be topological…
Hyperbolic components of McMullen maps
Weiyuan Qiu, Pascale Roesch, Xiaoguang Wang +1
In this article, we study the hyperbolic components of McMullen maps. We show that the boundaries of all hyperbolic components are Jordan curves. This settles a problem posed by De…