Ergodic points are closed with respect to the Besicovitch pseudometric for amenable group actions

The Journal of Difference Equations and Applications 2026

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Authors: Martha Łącka, Marcel Mroczek
DOI: 10.1080/10236198.2025.2600295
Cited by: 0
References: 34

Abstract

We prove that if G is a countable, amenable group that acts on a compact metric space X via homeomorphisms, then the set of points generic for ergodic measures of the dynamical system (X,G) is closed with respect to the Besicovitch pseudometric generated by any Følner sequence.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Advanced Topology and Set Theory Advanced Operator Algebra Research

Publication details

Journal / source
The Journal of Difference Equations and Applications
Volume
32
Issue
1
Pages
16–28
Publication date
2 January 2026
Language
EN