On orthogonality to uniquely ergodic systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866915137493925888 |
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| author | Górska, Martyna Lemańczyk, Mariusz de la Rue, Thierry |
| author_facet | Górska, Martyna Lemańczyk, Mariusz de la Rue, Thierry |
| contents | We solve Boshernitzan's problem of characterization (in terms of so called Furstenberg systems) of bounded sequences that are orthogonal to all uniquely ergodic systems. Some variations of Boshernitzan's problem involving characteristic classes are considered. As an application, we characterize sequences orthogonal to all uniquely ergodic systems whose (unique) invariant measure yields a discrete spectrum automorphism as those satisfying an averaged Chowla property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07907 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On orthogonality to uniquely ergodic systems Górska, Martyna Lemańczyk, Mariusz de la Rue, Thierry Dynamical Systems We solve Boshernitzan's problem of characterization (in terms of so called Furstenberg systems) of bounded sequences that are orthogonal to all uniquely ergodic systems. Some variations of Boshernitzan's problem involving characteristic classes are considered. As an application, we characterize sequences orthogonal to all uniquely ergodic systems whose (unique) invariant measure yields a discrete spectrum automorphism as those satisfying an averaged Chowla property. |
| title | On orthogonality to uniquely ergodic systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2404.07907 |