Circularly ordered dynamical systems

Eli Glasner; Michael Megrelishvili

Circularly ordered dynamical systems

Dynamical Systems 2016-08-31 v2 Functional Analysis General Topology

Authors: Eli Glasner , Michael Megrelishvili

Abstract

We study topological properties of circularly ordered dynamical systems and prove that every such system is representable on a Rosenthal Banach space, hence, is also tame. We derive some consequences for topological groups. We show that several Sturmian like symbolic $\mathbb{Z}^k$ -systems are circularly ordered. Using some old results we characterize circularly ordered minimal cascades.

Keywords

dynamical systems and chaos dynamical systems

Cite

@article{arxiv.1608.05091,
  title  = {Circularly ordered dynamical systems},
  author = {Eli Glasner and Michael Megrelishvili},
  journal= {arXiv preprint arXiv:1608.05091},
  year   = {2016}
}