3 papers
math.DS2011
Sierpiński curve Julia sets for quadratic rational maps
R. L. Devaney, N. Fagella, A. Garijo +1
We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpiński curve
math.DS2011
Checkerboard Julia Sets for Rational Maps
Paul Blanchard, Figen Çilingir, Daniel Cuzzocreo +3
In this paper, we consider the family of rational maps $$\F(z) = z^n + \frac{\la}{z^d},$$ where , , and$\la \in \bbC$. We consider the case where $\la$ lies in t…
math.DS1992
Problems in holomorphic dynamics
Ben Bielefeld, Mikhail Lyubich, Lennart Carleson +7
Contents: 1. Quasiconformal Surgery and Deformations: Ben Bielefeld, Questions in quasiconformal surgery; Curt McMullen, Rational maps and Teichmüller space; John Milnor, Thurston'…