English

Scrambled Cantor sets

Logic 2020-09-14 v2 Dynamical Systems

Abstract

We show that Li-Yorke chaos ensures the existence of a scrambled Cantor set.

Cite

@article{arxiv.2006.08277,
  title  = {Scrambled Cantor sets},
  author = {Stefan Geschke and Jan Grebík and Benjamin D. Miller},
  journal= {arXiv preprint arXiv:2006.08277},
  year   = {2020}
}

Comments

We have added several references in an attempt to better motivate our main result and clarify its relationship to previous work, and shifted the focus of the paper to the special case of what was previously our main result that should be of greatest interest to those working in dynamical systems

R2 v1 2026-06-23T16:19:47.475Z