Characteristic measures of symbolic dynamical systems

Characteristic measures of symbolic dynamical systems

A probability measure is a characteristic measure of a topological dynamical system if it is invariant to the automorphism group of the system. We show that zero entropy shifts always admit characteristic measures. We use similar techniques to show that automorphism groups of minimal zero entropy sh...

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Veröffentlicht in:arXiv.org 2021-02
Hauptverfasser: Frisch, Joshua, Tamuz, Omer
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Dynamical systems
Entropy
Mathematics - Dynamical Systems
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Zusammenfassung:A probability measure is a characteristic measure of a topological dynamical system if it is invariant to the automorphism group of the system. We show that zero entropy shifts always admit characteristic measures. We use similar techniques to show that automorphism groups of minimal zero entropy shifts are sofic.
ISSN:2331-8422
DOI:10.48550/arxiv.1908.02930