Mathematics > Dynamical Systems
[Submitted on 8 Jun 2023
(v1)
, last revised 24 Aug 2023 (this version, v2)]
Title: Non-dense orbit sets carry full metric mean dimension
Title: 非稠密轨道集具有全度量均等维数
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.
Submission history
From: Xiaoyao Zhou [view email][v1] Thu, 8 Jun 2023 07:48:11 UTC (13 KB)
[v2] Thu, 24 Aug 2023 07:53:38 UTC (13 KB)
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