English

The set of uniquely ergodic IETs is path-connected

Dynamical Systems 2015-06-03 v2 Geometric Topology

Abstract

Let π\pi be a non-degenerate permutation on at least 44 symbols. We show that the set of uniquely ergodic interval exchange transformations with permutation π\pi is path-connected.

Keywords

Cite

@article{arxiv.1405.0767,
  title  = {The set of uniquely ergodic IETs is path-connected},
  author = {Jon Chaika and Sebastian Hensel},
  journal= {arXiv preprint arXiv:1405.0767},
  year   = {2015}
}

Comments

Major rewrite, argument reorganised and streamlined. (40 pages, 7 figures)

R2 v1 2026-06-22T04:05:47.423Z