UNSPECIFIED (1997) Branched coverings and cubic Newton maps. FUNDAMENTA MATHEMATICAE, 154 (3). pp. 207-260. ISSN 0016-2736

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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).

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	FUNDAMENTA MATHEMATICAE
Publisher:	POLISH ACAD SCIENCES INST MATHEMATICS
ISSN:	0016-2736
Date:	1997
Volume:	154
Number:	3
Number of Pages:	54
Page Range:	pp. 207-260
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/16065

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