On the Rokhlin lemma for infinite measure-preserving bijections
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913035060248576 |
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| author | Hoareau, Fabien Maître, François Le |
| author_facet | Hoareau, Fabien Maître, François Le |
| contents | We study the Rokhlin lemma in the context of infinite measure-preserving bijections, and completely classify such bijections up to $λ$-approximate conjugacy, where $λ$ is the infinite measure which is preserved. This sharpens the classical version of the Rokhlin lemma, which only provides such a classification up to $μ$-approximate conjugacy where $μ$ is a probability measure equivalent to $λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13802 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Rokhlin lemma for infinite measure-preserving bijections Hoareau, Fabien Maître, François Le Dynamical Systems 37A40 We study the Rokhlin lemma in the context of infinite measure-preserving bijections, and completely classify such bijections up to $λ$-approximate conjugacy, where $λ$ is the infinite measure which is preserved. This sharpens the classical version of the Rokhlin lemma, which only provides such a classification up to $μ$-approximate conjugacy where $μ$ is a probability measure equivalent to $λ$. |
| title | On the Rokhlin lemma for infinite measure-preserving bijections |
| topic | Dynamical Systems 37A40 |
| url | https://arxiv.org/abs/2604.13802 |