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Incidence estimates for quasi-product sets and applications

Ciprian Demeter, William O'Regan · 2025 · arXiv 2511.15899

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A note on the sum-product problem for fractal sets

math.CA · 2026-04-22 · unverdicted · novelty 5.0

For any A subset of reals with Hausdorff dimension s in (0,1/2], either upper box dim(AA) or lower box dim(A+A) is at least 29s/23 (or 33s/26 for differences).

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  • A note on the sum-product problem for fractal sets math.CA · 2026-04-22 · unverdicted · none · ref 4

    For any A subset of reals with Hausdorff dimension s in (0,1/2], either upper box dim(AA) or lower box dim(A+A) is at least 29s/23 (or 33s/26 for differences).