English

All minimal Cantor systems are slow

Dynamical Systems 2019-05-28 v2

Abstract

We show that every (invertible, or noninvertible) minimal Cantor system embeds in R\mathbb{R} with vanishing derivative everywhere. We also study relations between local shrinking and periodic points.

Cite

@article{arxiv.1902.10641,
  title  = {All minimal Cantor systems are slow},
  author = {J. P. Boroński and J. Kupka and P. Oprocha},
  journal= {arXiv preprint arXiv:1902.10641},
  year   = {2019}
}
R2 v1 2026-06-23T07:53:14.440Z