Non-dense orbit sets carry full metric mean dimension

Jiao Yang; Ercai Chen; Xiaoyao Zhou

Non-dense orbit sets carry full metric mean dimension

Dynamical Systems 2023-08-25 v2

Authors: Jiao Yang , Ercai Chen , Xiaoyao Zhou

Abstract

Let $(X,d)$ be a compact metric space, $f:X\rightarrow X$ be a continuous transformation with the specification property. we consider non-dense orbit set $E(z_0)$ and show that for any non-transitive point $z_0\in X$ , this set $E(z_0)$ is empty or carries full Bowen upper and lower metric mean dimension.

Keywords

mean dimension

Cite

@article{arxiv.2306.05005,
  title  = {Non-dense orbit sets carry full metric mean dimension},
  author = {Jiao Yang and Ercai Chen and Xiaoyao Zhou},
  journal= {arXiv preprint arXiv:2306.05005},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2210.16491 by other authors

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