On the class of systems which are disjoint from every ergodic system
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929332915535872 |
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| author | Glasner, Eli Weiss, Benjamin |
| author_facet | Glasner, Eli Weiss, Benjamin |
| contents | In this note we give a fairly direct proof of a recent theorem of Gorska, Lemanczyk and de la Rue which characterises the class of measure preserving transformations that are disjoint from every ergodic measure preserving transformation. Our proof works just as well for any countable acting group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_00463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the class of systems which are disjoint from every ergodic system Glasner, Eli Weiss, Benjamin Dynamical Systems 37A25, 37A05, 37A15 In this note we give a fairly direct proof of a recent theorem of Gorska, Lemanczyk and de la Rue which characterises the class of measure preserving transformations that are disjoint from every ergodic measure preserving transformation. Our proof works just as well for any countable acting group. |
| title | On the class of systems which are disjoint from every ergodic system |
| topic | Dynamical Systems 37A25, 37A05, 37A15 |
| url | https://arxiv.org/abs/2405.00463 |