Sets with optimal oracles satisfy a Kaufman-type bound on the size of exceptional k-plane projections, generalizing Marstrand's theorem via effective descriptive set theory.
Furstenberg sets estimate in the plane
3 Pith papers cite this work. Polarity classification is still indexing.
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math.CA 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
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).
A survey sketching the proof of the three-dimensional Kakeya conjecture by Wang and Zahl.
citing papers explorer
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Projections of sets with optimal oracles onto $k$-planes
Sets with optimal oracles satisfy a Kaufman-type bound on the size of exceptional k-plane projections, generalizing Marstrand's theorem via effective descriptive set theory.
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A note on the sum-product problem for fractal sets
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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The Kakeya conjecture, after Wang and Zahl
A survey sketching the proof of the three-dimensional Kakeya conjecture by Wang and Zahl.