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arXiv · 2410.05640

Non-dense orbits on topological dynamical systems

Cao Zhao·Jiao Yang·Xiaoyao Zhou
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Abstract

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.

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Cao Zhao, Jiao Yang, Xiaoyao Zhou. 2024-10-08. Non-dense orbits on topological dynamical systems. https://arxiv.org/abs/2410.05640

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