Typical infinite mixing automorphisms are rank-one
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914895311667200 |
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| author | Ryzhikov, Valery V. |
| author_facet | Ryzhikov, Valery V. |
| contents | Bashtanov proved that generic mixing automorphisms of probability space with respect to the Alpern-Tikhonov metric had rank one. Using Sidon's constructions, we show that generic infinite mixing automorphisms also are rank-one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_21768 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Typical infinite mixing automorphisms are rank-one Ryzhikov, Valery V. Dynamical Systems Bashtanov proved that generic mixing automorphisms of probability space with respect to the Alpern-Tikhonov metric had rank one. Using Sidon's constructions, we show that generic infinite mixing automorphisms also are rank-one. |
| title | Typical infinite mixing automorphisms are rank-one |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2407.21768 |