17 citations · 58 across the 21 of their papers we have counts for
21 papers
Sierpiński carpet Julia sets of transcendental entire functions
Weiwei Su, Fei Yang
We prove that Sierpiński carpet parameters are dense in the bifurcation loci of some natural families of finite type transcendental entire functions having exactly one active criti…
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…
On the formulas of meromorphic functions with periodic Herman rings
Fei Yang
We construct some explicit formulas of rational maps and transcendental meromorphic functions having Herman rings of period strictly larger than one. This gives an answer to a ques…
Dimension paradox of irrationally indifferent attractors
Davoud Cheraghi, Alexandre DeZotti, Fei Yang
We prove that for an infinite dimensional class of holomorphic maps with an elliptic fixed point, the post-critical set has Hausdorff dimension two, provided the rotation number is…
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…