English

Combinatorial properties of Newton maps

Dynamical Systems 2021-08-04 v2

Abstract

This paper constructs a combinatorial model for all postcritically finite rational maps arising as the Newton's method of a complex polynomial. This model is used in [LMS] to give a combinatorial classification of postcritically finite Newton maps of any degree.

Keywords

Cite

@article{arxiv.1510.02761,
  title  = {Combinatorial properties of Newton maps},
  author = {Russell Lodge and Yauhen Mikulich and Dierk Schleicher},
  journal= {arXiv preprint arXiv:1510.02761},
  year   = {2021}
}
R2 v1 2026-06-22T11:16:47.302Z