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arXiv · 2306.05005

Non-dense orbit sets carry full metric mean dimension

Jiao Yang·Ercai Chen·Xiaoyao Zhou
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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.

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Jiao Yang, Ercai Chen, Xiaoyao Zhou. 2023-06-08. Non-dense orbit sets carry full metric mean dimension. https://arxiv.org/abs/2306.05005

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