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arXiv · 2405.15212

Packing topological pressure for amenable group actions

Ziqing Ding·Ercai Chen·Xiaoyao Zhou
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Abstract

In this paper, we first prove the variational principle for amenable packing topological pressure. Then we obtain an inequality concerning amenable packing pressure for factor maps. Finally, we show that the equality about packing topological pressure of the set of generic points when the system satisfies the almost specification property, or $\mu$ is ergodic.

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Ziqing Ding, Ercai Chen, Xiaoyao Zhou. 2024-05-24. Packing topological pressure for amenable group actions. https://arxiv.org/abs/2405.15212

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