Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric
Dynamical Systems
2025-10-31 v1
Abstract
We consider an action of a countable amenable group on a compact metric space, focusing on the set of generic points with respect to a fixed F{\o}lner sequence. For a given characteristic class, we prove that the set of points that are generic (along the F{\o}lner sequence) for some measure in this class is closed with respect to the Besicovitch pseudometric.
Cite
@article{arxiv.2510.26572,
title = {Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric},
author = {Sejal Babel and Martha Łącka and Marcel Mroczek},
journal= {arXiv preprint arXiv:2510.26572},
year = {2025}
}
Comments
12 pages