Relative topological entropy for actions of non-discrete groups on\n compact spaces in the context of cut and project schemes

2019/01/25 by Till Hauser, Hauser, Till
Mathematics · Computer Science · Materials Science · #Mathematical Dynamics and Fractals #Cellular Automata and Applications #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.1901.08985

Abstract

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

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