English

The W. Thurston Algorithm for Real Quadratic Rational Maps

Dynamical Systems 2021-11-08 v1

Abstract

A study of real quadratic maps with real critical points, emphasizing the effective construction of critically finite maps with specified combinatorics. We discuss the behavior of the Thurston algorithm in obstructed cases, and in one exceptional badly behaved case, and provide a new description of the appropriate moduli spaces. There is also an application to topological entropy.

Keywords

Cite

@article{arxiv.2009.10147,
  title  = {The W. Thurston Algorithm for Real Quadratic Rational Maps},
  author = {Araceli Bonifant and John Milnor and Scott Sutherland},
  journal= {arXiv preprint arXiv:2009.10147},
  year   = {2021}
}

Comments

141 figures, 67 pages

R2 v1 2026-06-23T18:42:05.962Z