Newton maps as matings of cubic polynomials
classification
🧮 math.DS
keywords
cubicmatingsnewtoncriticalfixedmapspolynomialsanother
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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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