English

A Denjoy counterexample for circle maps with an half-critical point

Dynamical Systems 2018-05-14 v2

Abstract

Modifying Hall's idea in "A C^{\infty} Denjoy counterexample" we construct an example of homeomorphism of the circle which is a Denjoy counterexample (i.e. it is not conjugated to a rotation) and which is a C^{\infty}-diffeomorphism everywhere except in a flat half-critical point.

Keywords

Cite

@article{arxiv.1401.7863,
  title  = {A Denjoy counterexample for circle maps with an half-critical point},
  author = {Liviana Palmisano},
  journal= {arXiv preprint arXiv:1401.7863},
  year   = {2018}
}
R2 v1 2026-06-22T02:57:50.943Z