Flexibility of measurable and topological nilfactors in dynamical systems
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arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910003724550144 |
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| author | Akhmedli, Seljon |
| author_facet | Akhmedli, Seljon |
| contents | We construct examples of minimal and uniquely ergodic systems realizing all possible behaviors in the interplay of measurable and topological nilfactors. To build such examples, we adapt an idea that stems from Furstenberg's construction of a minimal but not uniquely ergodic system on $\mathbb{T}^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20855 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Flexibility of measurable and topological nilfactors in dynamical systems Akhmedli, Seljon Dynamical Systems 37A05, 37B02, 37B05 We construct examples of minimal and uniquely ergodic systems realizing all possible behaviors in the interplay of measurable and topological nilfactors. To build such examples, we adapt an idea that stems from Furstenberg's construction of a minimal but not uniquely ergodic system on $\mathbb{T}^2$. |
| title | Flexibility of measurable and topological nilfactors in dynamical systems |
| topic | Dynamical Systems 37A05, 37B02, 37B05 |
| url | https://arxiv.org/abs/2601.20855 |