Packing topological pressure for amenable group actions

Fuente: arXiv
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Main Authors: Ding, Ziqing, Chen, Ercai, Zhou, Xiaoyao
Format: Preprint
Published: 2024
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author Ding, Ziqing
Chen, Ercai
Zhou, Xiaoyao
author_facet Ding, Ziqing
Chen, Ercai
Zhou, Xiaoyao
contents 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 $μ$ is ergodic.
format Preprint
id arxiv_https___arxiv_org_abs_2405_15212
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Packing topological pressure for amenable group actions
Ding, Ziqing
Chen, Ercai
Zhou, Xiaoyao
Dynamical Systems
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 $μ$ is ergodic.
title Packing topological pressure for amenable group actions
topic Dynamical Systems
url https://arxiv.org/abs/2405.15212