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
Singular perturbations of z n with a pole on the unit circle
TL;DR: In this article, the Julia and Fatou sets of complex maps were studied and the topological characteristics of the Julia sets were investigated. But they were not considered in this paper.
Book ChapterDOI
Introduction and Examples
TL;DR: A unified study of a class of positive operators called (generalized) transfer operators, and of their applications to the study of endomorphisms, measurable partitions, and Markov processes, as they arise in diverse settings.
Journal ArticleDOI
On the dynamics of n-circle inversion
TL;DR: In this paper, it was shown that even when the geometric limit of the Julia set converges to the unit circle or the annulus for a.e. Lebesgue, as n tends to infinity, the measure of maximal entropy always converges with respect to the lebesgue measure supported on the unit or annulus.
Posted Content
Pseudo-Real Rational Maps and their automorphisms
Rubén A. Hidalgo,Saúl Quispe +1 more
TL;DR: In this article, the authors show that the group of holomorphic automorphisms of a pseudo-real rational map is either trivial or cyclic, and provide a characterization of pseudo real rational maps.
Journal ArticleDOI
Convergence of Complex Continued Fractions
TL;DR: In this paper, the convergence of complex continued fractions is discussed and discussed in the context of Complex Continual Fractions (CCF) and Complex Continued Fraction (CDF).