作为三次多项式配对的Newton映射
Newton maps as matings of cubic polynomials
摘要：
本文证明了一类具有一个固定临界点的可重整化三次多项式与另一类具有两个固定临界点的三次多项式之间的匹配的存在性。最后的配对是一个牛顿映射。我们的结果是对谭磊猜想的第一部分，指出所有（三次）牛顿映射可以描述为交配或捕获。
英文摘要：
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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