Furstenberg-type estimates under mild non-concentration assumptions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917353634136064 |
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| author | Orponen, Tuomas Shmerkin, Pablo |
| author_facet | Orponen, Tuomas Shmerkin, Pablo |
| contents | We prove sharp $δ$-discretised versions of some variants of the Furstenberg set problem under weaker or different non-concentration assumptions compared to previous works. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19171 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Furstenberg-type estimates under mild non-concentration assumptions Orponen, Tuomas Shmerkin, Pablo Classical Analysis and ODEs Combinatorics 28A80, 28A78 We prove sharp $δ$-discretised versions of some variants of the Furstenberg set problem under weaker or different non-concentration assumptions compared to previous works. |
| title | Furstenberg-type estimates under mild non-concentration assumptions |
| topic | Classical Analysis and ODEs Combinatorics 28A80, 28A78 |
| url | https://arxiv.org/abs/2603.19171 |