A Cantor dynamical system is slow if and only if all its finite orbits are attracting
Dynamical Systems
2021-12-14 v2
Abstract
In this paper, we completely solve the problem when a Cantor dynamical system can be embedded in with vanishing derivative everywhere. For this purpose, we construct a refining sequence of marked clopen partitions of which is adapted to a dynamical system of this kind. It turns out that there is a huge class of such systems.
Cite
@article{arxiv.2105.07995,
title = {A Cantor dynamical system is slow if and only if all its finite orbits are attracting},
author = {Silvère Gangloff and Piotr Oprocha},
journal= {arXiv preprint arXiv:2105.07995},
year = {2021}
}