Topological pressure dimension for almost additive potentials
Dynamical Systems
2014-04-28 v1
Abstract
This paper is devoted to the study of the topological pressure dimension for almost additive sequences, which is an extension of topological entropy dimension. We investigate fundamental properties of the topological pressure dimension for almost additive sequences. In particular, we study the relationships among different types of topological pressure dimension and identifies an inequality relating them. Also, we show that the topological pressure dimension is always equal to or greater than 1 for certain special almost additive sequence.
Keywords
Cite
@article{arxiv.1404.6352,
title = {Topological pressure dimension for almost additive potentials},
author = {Lei Liu and Huajun Gong and Xiaoyao Zhou},
journal= {arXiv preprint arXiv:1404.6352},
year = {2014}
}
Comments
23 pages. arXiv admin note: text overlap with arXiv:1104.2195 by other authors