Topological pressure dimension

Wen-Chiao Cheng and Bing Li

Chaos, Solitons & Fractals, 2013, vol. 53, issue C, 10-17

Abstract: This paper presents the properties of topological pressure dimension, which is an extension of the entropy dimension. Specifically, this paper studies the relationships among different types of topological pressure dimension and identifies an inequality relating them. This analysis calculates analogs of many known results of topological pressure. In particular, we will show the value of the pressure dimension is always equal to or greater than 1 for any positive constant potential function.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:53:y:2013:i:c:p:10-17

DOI: 10.1016/j.chaos.2013.04.005

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