Hereditary subshifts whose simplex of invariant measures is Poulsen

2015/07/02 by Joanna Kułaga-Przymus, Mariusz Lemańczyk, Kułaga-Przymus, Joanna +4
Computer Science · Mathematics · #37A35 #37B10 #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.DS #msc:37A35 #msc:37B10 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1507.00714

10 pages

arxiv created 2015/07/02 · openalex publication_date 2015/07/02 · arxiv updated 2015/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We give a sufficient condition for the simplex of invariant measures for a hereditary system to be Poulsen. In particular, we show that this simplex is Poulsen in case of positive entropy \mathscrB-free systems. We also give an example of a positive entropy hereditary system whose simplex of invariant measures is not Poulsen.

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