Weiyuan Qiu

activity

20062018

most citedRational maps whose Julia sets are Cantor circles

17 citations · 36 across the 8 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.DS2013

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…

math.DS2013★ 7 cited

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 $f_{λ} (z) = z^{m} + λ / z^{ℓ}$ , where $ℓ$ , $m \geq 2$ are integers satisfying $1/ ℓ + 1/ m < 1$ and $λ\in\mathbb{C}\se…

math.DS2013★ 17 cited

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…