English

Unique ergodicity of circle and interval exchange transformations with flips

Dynamical Systems 2010-01-29 v2

Abstract

We study the existence of transitive exchange maps with flips defined on the unit circle. We provide a complete answer to the question of whether there exists a transitive exchange map of the unit circle defined on n subintervals and having f flips.

Keywords

Cite

@article{arxiv.0711.3821,
  title  = {Unique ergodicity of circle and interval exchange transformations with flips},
  author = {C. Gutierrez and S. Lloyd and V. Medvedev and B. Pires and E. Zhuzhoma},
  journal= {arXiv preprint arXiv:0711.3821},
  year   = {2010}
}

Comments

13 pages, 6 figures; notational changes, smaller figures

R2 v1 2026-06-21T09:46:51.296Z