English

Classification of expansive attractors on surfaces

Dynamical Systems 2010-02-09 v1

Abstract

We prove the conjecture of F. Rodriguez Hertz and J. Rodriguez Hertz (2006) that every nontrivial transitive expansive attractor of a homeomorphism of a compact surface is a derived from pseudo-Anosov attractor.

Keywords

Cite

@article{arxiv.1002.1485,
  title  = {Classification of expansive attractors on surfaces},
  author = {Marcy Barge and Brian F. Martensen},
  journal= {arXiv preprint arXiv:1002.1485},
  year   = {2010}
}

Comments

23 pages, 2 figures

R2 v1 2026-06-21T14:44:20.196Z