Newton maps as matings of cubic polynomials

Magnus Aspenberg, Pascale Roesch

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)77-112
Number of pages36
JournalProceedings of the London Mathematical Society
Volume113
Issue number1
DOIs
Publication statusPublished - 2016

Subject classification (UKÄ)

  • Mathematical Analysis

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