顺从群作用的非紧集拓扑压与变分原理
动力系统
2016-12-21 v4
摘要
拓扑压的概念由Ruell引入，并且他提出了拓扑压的变分原理。Pesin和Pitskel受Hausdorff维数启发引入了子集上拓扑压的定义。在本文中，我们考虑了顺从群作用的非紧子集的拓扑压，并表明在 tempered 条件下，我们得到了拓扑压的变分原理。
引用
@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}
}
备注
This paper has been withdrawn by the author due to the proof of the upper bound of the theorem