On the spectral problems of Kolmogorov and Rokhlin in the class of mixing automorphisms
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929405403594752 |
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| author | Ryzhikov, Valery V. |
| author_facet | Ryzhikov, Valery V. |
| contents | Let $T$ be a staircase rank-one construction with parameters $r_j \sim j^d$, $0<d<0.2$, then its spectrum does not have the group property, and the product $T\otimes T$ has homogeneous spectrum of multiplicity 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01514 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the spectral problems of Kolmogorov and Rokhlin in the class of mixing automorphisms Ryzhikov, Valery V. Dynamical Systems Let $T$ be a staircase rank-one construction with parameters $r_j \sim j^d$, $0<d<0.2$, then its spectrum does not have the group property, and the product $T\otimes T$ has homogeneous spectrum of multiplicity 2. |
| title | On the spectral problems of Kolmogorov and Rokhlin in the class of mixing automorphisms |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2407.01514 |