The rational maps F λ (z) = z m + λ/z d have no Herman rings

Dynamics in one complex variable: introductory lectures

John Milnor · arXiv (Cornell University) · 1990 · 494 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +11

The escape trichotomy for singularly perturbed rational maps

Robert L. Devaney, Daniel M. Look, David Uminsky · Indiana University Mathematics Journal · 2005 · 119 citations

Natural Sciences, Mathematics, Dynamical Systems +10

The dynamics of rational transforms: the topological picture

Mikhail Lyubich · Russian Mathematical Surveys · 1986 · 106 citations

Natural Sciences, Mathematics, Dynamical Systems +16

Structure of the McMullen domain in the parameter planes for rational maps

Robert L. Devaney · Fundamenta Mathematicae · 2005 · 40 citations · Full text

Natural Sciences, Mathematics, Algebra +4

The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes

Robert L. Devaney · Conformal Geometry and Dynamics of the American Mathematical Society · 2007 · 23 citations · Full text

Natural Sciences, Mathematics, Combinatorics +12