BookDOI
Iteration of Rational Functions
About:
This article is published in American Mathematical Monthly.The article was published on 1991-01-01. It has received 972 citations till now. The article focuses on the topics: Elliptic rational functions & Rational function.read more
Citations
More filters
Journal ArticleDOI
Preperiodic points and unlikely intersections
Matthew Baker,Laura DeMarco +1 more
TL;DR: In this article, the authors combine complex-analytic and arithmetic tools to study the preperiodic points of 1-dimensional complex dynamical systems, and they show that for any fixed a,b ∈ C and any integer d ≥ 2, the set of c∈C for which both a and b are pre-periodic for zd+c is infinite if and only if ad=bd.
Dynamics of transcendental meromorphic functions
TL;DR: For a transcen-dental meromorphic function f(z) whose Fatou set F(f) has a component of connectivity at least three, it was shown in this article that singleton components are dense in the Julia set J(f).
Journal ArticleDOI
Fast escaping points of entire functions
P. J. Rippon,Gwyneth M. Stallard +1 more
TL;DR: In this article, the authors study functions for which each of their levels, and each of its levels, has the structure of an infinite spider's web and show that there are many such functions and that they have strong dynamical properties.
Journal ArticleDOI
Problems in the steenrod algebra
TL;DR: A collection of results and problems about the Steenrod algebra and related algebras acting on polynomials which non-specialists in topology may find of some interest can be found in this paper.
Journal ArticleDOI
Measures and dimensions in conformal dynamics
TL;DR: A survey of fractal and ergodic properties of Julia sets of rational functions of the Riemann sphere can be found in this article, where the authors discuss the properties of the Julia set of non-recurrent rational functions.