Sum-product phenomena for Ahlfors-regular sets
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911085112590336 |
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| author | O'Regan, William |
| author_facet | O'Regan, William |
| contents | We utilise the recent work of Orponen to yield a sum-product result for Ahlfors-regular sets. As a corollary, we obtain the fractal analogue of Solymosi's $4/3$-bound for finite subsets of $\mathbb{R}.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02131 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sum-product phenomena for Ahlfors-regular sets O'Regan, William Classical Analysis and ODEs Combinatorics Metric Geometry 05B99, 28A78, 28A80 We utilise the recent work of Orponen to yield a sum-product result for Ahlfors-regular sets. As a corollary, we obtain the fractal analogue of Solymosi's $4/3$-bound for finite subsets of $\mathbb{R}.$ |
| title | Sum-product phenomena for Ahlfors-regular sets |
| topic | Classical Analysis and ODEs Combinatorics Metric Geometry 05B99, 28A78, 28A80 |
| url | https://arxiv.org/abs/2501.02131 |