English

Three remarks on one dimensional bi-Lipschitz conjugacies

Dynamical Systems 2007-05-23 v1 Group Theory

Abstract

We show that bi-Lipschitz conjugacies between non singular one dimensional systems are forced to be smooth, at least in the minimal (and ergodic) case. This is however far from being true in the non minimal case. These results clarify a classical work by Ghys and Tsuboi.

Keywords

Cite

@article{arxiv.0705.0034,
  title  = {Three remarks on one dimensional bi-Lipschitz conjugacies},
  author = {Andrés Navas},
  journal= {arXiv preprint arXiv:0705.0034},
  year   = {2007}
}
R2 v1 2026-06-21T08:23:41.774Z