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Bauer simplices and the small boundary property

2024/04/06 by David Kerr, Grigoris Kopsacheilis, Kerr, David +3
Computer Science · Engineering · #Matrix Theory and Algorithms #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation

paper · pdf · doi:10.48550/arxiv.2404.04634

Abstract

We show that, for every minimal action of a countably infinite discrete group on a compact metrizable space, if the extreme boundary of the simplex of invariant Borel probability measures is closed and has finite covering dimension then the action has the small boundary property.

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