Non-dense orbits on topological dynamical systems
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929531455012864 |
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| author | Zhao, Cao Yang, Jiao Zhou, Xiaoyao |
| author_facet | Zhao, Cao Yang, Jiao Zhou, Xiaoyao |
| contents | Let $(X,d,T )$ be a topological dynamical system with the specification property. We consider the 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 topological pressure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05640 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-dense orbits on topological dynamical systems Zhao, Cao Yang, Jiao Zhou, Xiaoyao Dynamical Systems Let $(X,d,T )$ be a topological dynamical system with the specification property. We consider the 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 topological pressure. |
| title | Non-dense orbits on topological dynamical systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2410.05640 |