Furstenberg systems of certain sequences of superpolynomial growth
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912645834080256 |
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| author | Moragues, Andreu Ferré Koutsogiannis, Andreas |
| author_facet | Moragues, Andreu Ferré Koutsogiannis, Andreas |
| contents | We give examples of sequences defined by smooth functions of intermediate growth, and we study the Furstenberg systems that model their statistical behavior. In particular, we show that the systems are Bernoulli. We do so by studying exponential sums that reflect the strong equidistribution properties of said sequences. As a by-product of our approach, we also get some convergence results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11957 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Furstenberg systems of certain sequences of superpolynomial growth Moragues, Andreu Ferré Koutsogiannis, Andreas Dynamical Systems Number Theory 37A44 (Primary) 28D05, 11K06, 11L03 (Secondary) We give examples of sequences defined by smooth functions of intermediate growth, and we study the Furstenberg systems that model their statistical behavior. In particular, we show that the systems are Bernoulli. We do so by studying exponential sums that reflect the strong equidistribution properties of said sequences. As a by-product of our approach, we also get some convergence results. |
| title | Furstenberg systems of certain sequences of superpolynomial growth |
| topic | Dynamical Systems Number Theory 37A44 (Primary) 28D05, 11K06, 11L03 (Secondary) |
| url | https://arxiv.org/abs/2510.11957 |