English

Packing topological pressure for amenable group actions

Dynamical Systems 2024-05-27 v1

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 μ\mu is ergodic.

Keywords

Cite

@article{arxiv.2405.15212,
  title  = {Packing topological pressure for amenable group actions},
  author = {Ziqing Ding and Ercai Chen and Xiaoyao Zhou},
  journal= {arXiv preprint arXiv:2405.15212},
  year   = {2024}
}

Comments

27 pages

R2 v1 2026-06-28T16:38:20.628Z