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arXiv · 2510.26572

Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric

Sejal Babel·Martha Łącka·Marcel Mroczek
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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.

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Sejal Babel, Martha Łącka, Marcel Mroczek. 2025-10-30. Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric. https://arxiv.org/abs/2510.26572

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