BookDOI
Iteration of Rational Functions
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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
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Journal ArticleDOI
Integer points, Diophantine approximation, and iteration of rational maps
Book
The Dynamical Mordell-lang Conjecture
TL;DR: The dynamical Mordell-Lang problem was studied in this article, where a geometric Skolem-Mahler-Lech theorem was proved for polynomial orbits.
Journal ArticleDOI
Local connectivity of some Julia sets containing a circle with an irrational rotation
TL;DR: The Julia set as discussed by the authors is the complement of the Fatou set for rational maps, and it is the set of points z c C possessing a neighbourhood on which the family of iterates {R n }n~>o is normal.
Book ChapterDOI
Dynamics on Berkovich Spaces in Low Dimensions
TL;DR: In this paper, expanded lecture notes for the summer school on Berkovich spaces that took place at the Institut de Mathematiques de Jussieu, Paris, during June 28-July 9, 2010 are presented.
Book ChapterDOI
Dynamics in Several Complex Variables: Endomorphisms of Projective Spaces and Polynomial-like Mappings
Tien-Cuong Dinh,Nessim Sibony +1 more
TL;DR: In this article, the authors consider the problem of equidistribution in complex dynamics in higher dimensions, and give several constructions for the Green currents T p and the equilibrium measure μ = T k.