English

On the classification of critically fixed rational maps

Dynamical Systems 2013-08-28 v1

Abstract

We discuss the dynamical, topological, and algebraic classification of rational maps ff of the Riemann sphere to itself each of whose critical points cc is also a fixed-point of ff, i.e. f(c)=cf(c)=c.

Keywords

Cite

@article{arxiv.1308.5895,
  title  = {On the classification of critically fixed rational maps},
  author = {Kristin Cordwell and Selina Gilbertson and Nicholas Nuechterlein and Kevin M. Pilgrim and Samantha Pinella},
  journal= {arXiv preprint arXiv:1308.5895},
  year   = {2013}
}

Comments

43 pages; 11 figures

R2 v1 2026-06-22T01:15:51.721Z