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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A survey on MLC, Rigidity and related topics
TL;DR: The famous MLC Conjecture states that the Mandelbrot set is locally connected, and it is considered by many to be the central conjecture in one-dimensional complex dynamics.
Book ChapterDOI
Hausdorff-Dimension, reguläre Mengen und total irreguläre Mengen
TL;DR: In this article, Hausdorffs letzte Untersuchung mit Bezug zur Mastheorie und gleichzeitig um seine einzige, die mafltheoretischen Fragen im engeren Sinnegewidmet ist und nicht wie friihere seiner Arbeiten in erster Linie Grundlagenprobleme im Bereich der Mastheoria anspricht.
Journal ArticleDOI
Conjugacies of the Newton maps of rational functions
TL;DR: Newton's method is a well-known iterative method to find roots of a function and the dynamics of the Newton maps of polynomials has long been an object of study as discussed by the authors.
Proceedings ArticleDOI
Construction of Optimal Norms for Semi-Groups of Matrices
TL;DR: In this article, an algorithm is presented to verify the optimality of a given product using optimal norms, as a special subset of extremal extremal norms, and the algorithm has successfully calculated the spectral radius of the pair of matrices associated with compactly supported multi-resolution analyses and wavelets.