Non-dense orbits on topological dynamical systems
Dynamical Systems
2024-10-10 v1
Abstract
Let be a topological dynamical system with the specification property. We consider the non-dense orbit set and show that for any non-transitive point , this set is empty or carries full topological pressure.
Cite
@article{arxiv.2410.05640,
title = {Non-dense orbits on topological dynamical systems},
author = {Cao Zhao and Jiao Yang and Xiaoyao Zhou},
journal= {arXiv preprint arXiv:2410.05640},
year = {2024}
}