17 citations · 58 across the 21 of their papers we have counts for
5 papers · 1 filter
On the dynamics of a family of renormalization transformations
Fei Yang, Jinsong Zeng
We study the family of renormalization transformations of the generalized --dimensional diamond hierarchical Potts model in statistical mechanic and prove that their Julia sets…
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…
Rational maps without Herman rings
Fei Yang
Let be a rational map with degree at least two. We prove that has at least disjoint and infinite critical orbits in the Julia set if it has a Herman ring. This result i…
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…