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
Hausdorff dimension and conformal dynamics II: Geometrically finite rational maps
TL;DR: In this paper, a rational map f is geometrically finite if every critical point in the Julia set Jrad(f) is a preperiodic critical point and every rational map admits a unique normalized invariant density μ of dimension (i.e., the minimum dimension of an f-invariant conformal density on the Riemann sphere).
MonographDOI
Quasiconformal surgery in holomorphic dynamics
Bodil Branner,Núria Fagella +1 more
TL;DR: This book discusses surgery and its applications in dynamical systems and actions of Kleinian groups, as well as some of the principles of surgery as applied to extensions and interpolations.
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Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
Tien-Cuong Dinh,Nessim Sibony +1 more
TL;DR: In this article, the authors considered the problem of quantifying the speed of convergence of polynomial-like complex dynamics in higher dimensions, based on the compactness properties of plurisubharmonic functions and on positive closed currents.
Book ChapterDOI
Static Analyses of the Precision of Floating-Point Operations
TL;DR: This article gives a (sketch of a) semantics of its basic operations then abstract them (in the sense of abstract interpretation) to extract information about the possible loss of precision in floating-point operations.