Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911240642625536 |
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| author | Babel, Sejal Łącka, Martha Mroczek, Marcel |
| author_facet | Babel, Sejal Łącka, Martha Mroczek, Marcel |
| contents | 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 Følner sequence. For a given characteristic class, we prove that the set of points that are generic (along the Følner sequence) for some measure in this class is closed with respect to the Besicovitch pseudometric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric Babel, Sejal Łącka, Martha Mroczek, Marcel Dynamical Systems 37B05, 37A15, 22F10 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 Følner sequence. For a given characteristic class, we prove that the set of points that are generic (along the Følner sequence) for some measure in this class is closed with respect to the Besicovitch pseudometric. |
| title | Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric |
| topic | Dynamical Systems 37B05, 37A15, 22F10 |
| url | https://arxiv.org/abs/2510.26572 |