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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Spectra of Weighted Composition Operators with Quadratic Symbols
TL;DR: In this article , it was shown that φ converges under iteration to the Denjoy-Wolff point uniformly on all of ǫ rather than simply on compact subsets, and φ is essentially linear fractional.
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Bifurcation curves of a family of one-dimensional biquadratic polynomial maps, depending on the complex variable, and two real parameters
Hisashi Ishida,Tsuyoshi Itoh +1 more
TL;DR: An elementary proof of Sun and Yin's precise description of the connectedness locus of the family of real biquadratic polynomials {pa,b(z) = (z2 + a)2 + b}.
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Finite Type Transcendental Entire Functions Whose Buried Points Set Contains Unbounded Positive Real Interval
TL;DR: In this paper, the authors consider real coefficient polynomial coefficients and show that when p(z) and μ satisfy two conditions, buried point of fμ(z)-set contains unbounded positive real interval.
Posted Content
Roots of Two-Terminal Reliability
TL;DR: In this article, it was shown that the nature and location of the roots of two-terminal reliability polynomials have significantly different properties than those held by roots of allterminal reliabilities.
Journal ArticleDOI
Julia Sets of Hyperbolic Rational Maps have Positive Fourier Dimension
TL;DR: In this paper , it was shown that a large family of probability measures supported on the Julia set exhibit polynomial Fourier decay: their result applies in particular to the measure of maximal entropy and the conformal measure.