Newton maps as matings of cubic polynomials

Abstract

In this paper we prove existence of matings between a large class of renormalizable cubic polynomials with one fixed critical point and another cubic polynomial having two fixed critical points. The resulting mating is a Newton map. Our result is the first part towards a conjecture by Tan Lei, stating that all (cubic) Newton maps can be described as matings or captures.

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Cited by in corpus (1)

• Combination Theorems in Groups, Geometry and Dynamics