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
On the topology of the inverse limit of a branched covering over a Riemann surface
TL;DR: The Plaque Topology on the inverse limit of a branched covering self-map of a Riemann surface of a finite degree greater than one was introduced in this paper.
Journal ArticleDOI
On topological properties of Fatou sets and Julia sets of transcendental entire functions
Posted Content
Estimates of linearization discs in $p$-adic dynamics with application to ergodicity
TL;DR: In this paper, Lindahl et al. gave lower bounds for the size of linearization disc for power series over quadratic maps, and certain power series containing a sufficiently large quadrastic term, and showed that transitivity is equivalent to the unique ergodicity on compact subsets of a linearisation disc.
Journal ArticleDOI
Symmetries of the Julia sets of König's methods for polynomials
Gang Liu,Junyang Gao +1 more
TL;DR: For any given integer n ≥ 2, if f is in normal form, then Σ ( f ) is a subgroup of Σ( K f, n ).
Posted Content
Square Sierpi\'nski carpets and Latt\`es maps
Mario Bonk,Sergei Merenkov +1 more
TL;DR: In this article, it was shown that every quasisymmetric homeomorphism of a standard square Sierpinski carpet $S_p$, $p\ge 3$ odd, is an isometry.