2 citations · 3 across the 4 of their papers we have counts for
4 papers
Mating Siegel and Thurston quadratic polynomials
Yuming Fu, Yanhua Zhang
We prove that a quadratic polynomial with a bounded type Siegel disk and a quadratic post-critically finite polynomial are always mateable.
Mating Siegel and parabolic quadratic polynomials
Yuming Fu, Fei Yang
Let be the quadratic polynomial having an indifferent fixed point at the origin. For any bounded type irrational number a…
Quadratic rational maps with a -cycle of Siegel disks
Yuming Fu, Fei Yang, Gaofei Zhang
For the family of quadratic rational functions having a -cycle of bounded type Siegel disks, we prove that each of the boundaries of these Siegel disks contains at most one crit…
Area and Hausdorff dimension of Sierpiński carpet Julia sets
Yuming Fu, Fei Yang
We prove the existence of rational maps whose Julia sets are Sierpiński carpets having positive area. Such rational maps can be constructed such that they either contain a Cremer f…