English

Positive Entropy Through Pointwise Dynamics

Dynamical Systems 2022-07-05 v2

Abstract

We define some pointwise properties of topological dynamical systems and give pointwise conditions for such a system possesses positive topological entropy. We give sufficient conditions to obtain positive topological entropy for maps which are approximated by maps with the shadowing property in a uniform way.

Keywords

Cite

@article{arxiv.1805.07503,
  title  = {Positive Entropy Through Pointwise Dynamics},
  author = {A. Arbieto and E. Rego},
  journal= {arXiv preprint arXiv:1805.07503},
  year   = {2022}
}

Comments

8 pages

R2 v1 2026-06-23T02:00:55.162Z