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
Dynamics of a family of rational operators of arbitrary degree
Journal ArticleDOI
On the distribution of Julia sets of holomorphic maps
TL;DR: In this article, the authors considered the distribution problem of Julia sets of meromorphic maps and showed that the Julia set of a transcendental meromorphic map with at most finitely many poles cannot be contained in any finite set of straight lines.
Journal ArticleDOI
Reproducing Kernels and Coherent States on Julia Sets
TL;DR: In this article, the authors construct classes of coherent states on domains arising from dynamical systems, and show that reproducing kernels and reproducing kernel Hilbert spaces are associated with Julia sets.
Book ChapterDOI
A Survey of Quasiregular Mappings
TL;DR: The goal of this survey is to give the reader a brief overview of the theory of quasiconformal (qc) and quasiregular (qr) mappings and of some related topics.
Journal ArticleDOI
Unbounded components of the fatou set
TL;DR: In this paper, it was shown that there exist infinitely many unbounded components of the normality set whose iteration may converge to a unique point or to infinitely many distinct points and also infinitely many different paths.