A note on the Kronecker--Weyl equidistribution theorem
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911891555614720 |
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| author | Beck, J. Chen, W. W. L. Yang, Y. |
| author_facet | Beck, J. Chen, W. W. L. Yang, Y. |
| contents | We study the relationship between the discrete and the continuous versions of the Kronecker--Weyl equidistribution theorem, as well as their possible extension to manifolds in higher dimensions. We also investigate a way to deduce in some limited way uniformity results in higher dimension from results in lower dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00077 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the Kronecker--Weyl equidistribution theorem Beck, J. Chen, W. W. L. Yang, Y. Dynamical Systems Number Theory 37E35, 11K38 We study the relationship between the discrete and the continuous versions of the Kronecker--Weyl equidistribution theorem, as well as their possible extension to manifolds in higher dimensions. We also investigate a way to deduce in some limited way uniformity results in higher dimension from results in lower dimension. |
| title | A note on the Kronecker--Weyl equidistribution theorem |
| topic | Dynamical Systems Number Theory 37E35, 11K38 |
| url | https://arxiv.org/abs/2404.00077 |