In the study of aperiodic order via dynamical methods, topological entropy is an important concept. In this paper, parts of the theory, like Bowen’s formula for fibre wise entropy or the independence of the definition from the choice of a Van Hove sequence, are extended to actions of several non-discrete groups. To establish these results, we will show that the Ornstein–Weiss lemma is valid for all considered groups which appear in the study of cut and project schemes.

中文翻译：

---

剪切和投影方案背景下非离散群在紧空间上的作用的相对拓扑熵

在通过动力学方法研究非周期性的过程中，拓扑熵是一个重要的概念。在本文中，该理论的部分内容，例如纤维智能熵的Bowen公式或从Van Hove序列选择中获得的定义独立性，扩展到了几个非离散组的作用。为了建立这些结果，我们将证明Ornstein-Weiss引理对所有在裁切和项目计划研究中出现的被考虑的群体都是有效的。