arXiv:1404.6352 Abstract | arXiv Analytics

arXiv:1404.6352 [math.DS]Abstract References Reviews Resources

Topological pressure dimension for almost additive potentials

Published 2014-04-25Version 1

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.

Comments: 23 pages. arXiv admin note: text overlap with arXiv:1104.2195 by other authors

Categories: math.DS

Subjects: 54H20, 37B20

Keywords: topological pressure dimension, additive potentials, additive sequence, topological entropy dimension, fundamental properties

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