Furstenberg set problem and exceptional set estimate in prime fields: dimension two implies higher dimensions
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915517803003904 |
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| author | Gan, Shengwen |
| author_facet | Gan, Shengwen |
| contents | In this paper, we study in prime fields the exceptional set estimates, which can be viewed as a refinement of Marstrand's orthogonal projection theorem. Additionally, we address a Furstenberg-type problem, which is closely related. It is shown that the two-dimensional result implies all higher-dimensional results in the prime-field setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11637 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Furstenberg set problem and exceptional set estimate in prime fields: dimension two implies higher dimensions Gan, Shengwen Classical Analysis and ODEs Combinatorics In this paper, we study in prime fields the exceptional set estimates, which can be viewed as a refinement of Marstrand's orthogonal projection theorem. Additionally, we address a Furstenberg-type problem, which is closely related. It is shown that the two-dimensional result implies all higher-dimensional results in the prime-field setting. |
| title | Furstenberg set problem and exceptional set estimate in prime fields: dimension two implies higher dimensions |
| topic | Classical Analysis and ODEs Combinatorics |
| url | https://arxiv.org/abs/2409.11637 |