Topological Pressure and the Variational Principle of Noncompact Sets for Amenable Group Actions

Xiankun Ren

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arXiv · 1506.02095

Topological Pressure and the Variational Principle of Noncompact Sets for Amenable Group Actions

Xiankun Ren

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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.

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Xiankun Ren. 2015-06-06. Topological Pressure and the Variational Principle of Noncompact Sets for Amenable Group Actions. https://arxiv.org/abs/1506.02095

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