2019/08/31 by Joshua Frisch, JOSHUA FRISCH, Omer Tamuz +1
Computer Science · Materials Science · Mathematics · #Automorphism #Cellular Automata and Applications #Dynamical systems theory #Entropy (arrow of time) #Invariant (physics) #Mathematical Dynamics and Fractals #Probability measure #Quasicrystal Structures and Properties #Symbolic dynamics #Topological entropy #math.DS
paper · pdf · doi:10.1017/etds.2021.16
9 pages
openalex created_date 2019/08/13 · arxiv created 2021/02/11 · openalex publication_date 2021/03/18 · arxiv updated 2021/07/01 · openalex updated_date 2026/08/05
Abstract 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.