Abstract
In this paper, we prove existence and uniqueness of matings of a large class of renormalizable cubic polynomials with one fixed critical point and the other cubic polynomial having two fixed critical points. The resulting mating is a Newton map. Our result is the first part toward a conjecture by L. Tan, stating that all (cubic) Newton maps can be described as matings or captures.
Original language | English |
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Pages (from-to) | 77-112 |
Number of pages | 36 |
Journal | Proceedings of the London Mathematical Society |
Volume | 113 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2016 |
Subject classification (UKÄ)
- Mathematical Analysis