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Title

Branched coverings and cubic Newton maps

Authors 1

Affiliations

  1. Department of Mathematics, University of Warwick, Coventry CV4 7AL, United Kingdom

Abstract

We construct branched coverings such as matings and captures to describe the dynamics of every critically finite cubic Newton map. This gives a combinatorial model of the set of cubic Newton maps as the gluing of a subset of cubic polynomials with a part of the filled Julia set of a specific polynomial (Figure 1).

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Fundamenta Mathematicae
1997/154/3
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Pages:
207-260
Main language of publication
English
Received
1995-12-05
Accepted
1996-09-09
Published
1997
Exact and natural sciences