English

Cut and semi-conjugate

Dynamical Systems 2011-10-17 v1

Abstract

We define a very general class of rational functions f:CP^1 --> CP^1 such that for every function f of this class, there exists a countable family of smooth curves \gamma_i and a critically finite hyperbolic function R such that the dynamical system obtained from f by cutting along the curves \gamma_i is topologically semi-conjugate to R.

Keywords

Cite

@article{arxiv.1110.3131,
  title  = {Cut and semi-conjugate},
  author = {Vladlen Timorin},
  journal= {arXiv preprint arXiv:1110.3131},
  year   = {2011}
}

Comments

4 pages

R2 v1 2026-06-21T19:20:09.536Z