Quantitative orbit equivalence for $\mathbb{Z}$-odometers
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913020291055616 |
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| author | Naryshkin, Petr Petrakos, Spyridon |
| author_facet | Naryshkin, Petr Petrakos, Spyridon |
| contents | We prove that any two $\mathbb{Z}$-odometers are sub-$L^1$-orbit equivalent, greatly strengthening previous results and giving a definitive picture of quantitative orbit equivalence for these systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16749 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative orbit equivalence for $\mathbb{Z}$-odometers Naryshkin, Petr Petrakos, Spyridon Dynamical Systems We prove that any two $\mathbb{Z}$-odometers are sub-$L^1$-orbit equivalent, greatly strengthening previous results and giving a definitive picture of quantitative orbit equivalence for these systems. |
| title | Quantitative orbit equivalence for $\mathbb{Z}$-odometers |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2510.16749 |