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arXiv · 2012.00920

Scale pressure for amenable group actions

Dandan Cheng·Qian Hao·Zhiming Li
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Abstract

In this paper we introduce the notion of scale pressure and measure theoretic scale pressure for amenable group actions. A variational principle for amenable group actions is presented. We also describe these quantities by pseudo-orbits. Moreover, we prove that if $G$ is a finitely generated countable discrete amenable group, then the scale pressure of $G$ coincides with the scale pressure of $G$ with respect to pseudo-orbits.

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Dandan Cheng, Qian Hao, Zhiming Li. 2020-12-02. Scale pressure for amenable group actions. https://arxiv.org/abs/2012.00920

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