论文标题

适合小组行动的规模压力

Scale pressure for amenable group actions

论文作者

Cheng, Dandan, Hao, Qian, Li, Zhiming

论文摘要

在本文中,我们介绍了规模压力的概念,并测量了对群体行动的理论规模压力。提出了针对群体行动的变分原理。我们还通过伪孔描述了这些数量。此外,我们证明,如果$ g $是一个有限生成的可计数分离式违规组,那么$ g $的比例压力与$ g $相对于伪孔的规模压力重合。

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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