Matings and the other side of the dictionary
type: Item
instance of: scholarly article
title: Matings and the other side of the dictionary
zbMATH Open document ID: 1283.37052
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2013-05-28T00:00:00Z
full work available at URL: http://www.numdam.org/item
review text: In the theory of rational maps an important role is played by matings; in the theory of Kleinian groups the construction of double limits is a crucial concept. In this article the author looks at the `entries' (a) mating (in dynamical systems) and (b) double limit theorem (in hyperbolic geometry) in Sullivan's dictionary. He points out that the known proofs of (a) and (b) are quite different but maybe they do not need to be. Section 2 addresses matings of polynomials and a suitable setting for hyperbolic manifolds. In Section 3 the author gives some important theorems related to matings of polynomials and the double limit theorem. Section 4 attempts to spell out the similarities and differences between (a) and (b).
reviewed by: Patricia Domínguez
Mathematics Subject Classification ID: 37F30
Mathematics Subject Classification ID: 37F10
zbMATH DE Number: 6167103
zbMATH Keywords: rational maps
zbMATH Keywords: polynomials
zbMATH Keywords: mating
zbMATH Keywords: manifold
zbMATH Keywords: foliation
zbMATH Keywords: Kleinian groups
author: John Hamal Hubbard
describes a project that uses: OPTi
MaRDI profile type: Publication
OpenAlex ID: W2084249633
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DOI: 10.5802/AFST.1364
description: scientific article; zbMATH DE number 6167103