English

Thurston equivalence to a rational map is decidable

Dynamical Systems 2010-09-30 v1 Geometric Topology Logic

Abstract

We demonstrate that the question whether or not a given postcritically finite topological ramified covering map of the 2-sphere is Thurston equivalent to a rational map is algorithmically decidable.

Keywords

Cite

@article{arxiv.1009.5713,
  title  = {Thurston equivalence to a rational map is decidable},
  author = {Sylvain Bonnot and Mark Braverman and Michael Yampolsky},
  journal= {arXiv preprint arXiv:1009.5713},
  year   = {2010}
}
R2 v1 2026-06-21T16:20:35.074Z