2 papers
math.DS2024
Uniformization of gasket Julia sets
Yusheng Luo, Dimitrios Ntalampekos
The object of the paper is to characterize gasket Julia sets of rational maps that can be uniformized by round gaskets. We restrict to rational maps without critical points on the…
math.DS2024
Piecewise quasiconformal dynamical systems of the unit circle
Yusheng Luo, Dimitrios Ntalampekos
We study piecewise quasiconformal covering maps of the unit circle. We provide sufficient conditions so that a conjugacy between two such dynamical systems has a quasiconformal or…