Topological Pressure and the Variational Principle of Noncompact Sets for Amenable Group Actions
Dynamical Systems
2016-12-21 v4
Abstract
The notion of topological pressure was introduced by Ruell and also he formulated a variational principle for the topological pressure. Pesin and Pitskel introduced a definition of topological on subsets inspired by Hausdorff dimension. In this paper, we considered the topological pressure of a noncompact subset for amenable group actions and showed that under the tempered condition, we get the variational principle for topological pressure.
Keywords
Cite
@article{arxiv.1506.02095,
title = {Topological Pressure and the Variational Principle of Noncompact Sets for Amenable Group Actions},
author = {Xiankun Ren},
journal= {arXiv preprint arXiv:1506.02095},
year = {2016}
}
Comments
This paper has been withdrawn by the author due to the proof of the upper bound of the theorem