Relative Topological Entropy for Actions of Non-discrete Groups on Compact Spaces in the Context of Cut and Project Schemes

被引：0
作者：
T. Hauser
机构：
[1] Friedrich Schiller University Jena,Institute of Mathematics, Faculty of Mathematics and Computer Science
来源：
Journal of Dynamics and Differential Equations | 2021年 / 33卷
关键词：
Entropy; Ornstein–Weiss lemma; Bowen formula; Uniform space; Dynamical system; Cut and project scheme; Amenable group; Van Hove sequence; Følner sequence; Uniform lattice; 37B40; 37A35; 52C23;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：891 / 912
页数：21
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