For every d≥2, there exist Kakeya sets whose δ-neighborhood volume is O(|log δ|^{-(d-1)}), improving all prior constructions.
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A construction of Kakeya Sets in Arbitrary Dimension
For every d≥2, there exist Kakeya sets whose δ-neighborhood volume is O(|log δ|^{-(d-1)}), improving all prior constructions.