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math.CA2025★ 2 cited
Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions
Hong Wang, Joshua Zahl
We study sets of tubes in , with the property that not too many tubes can be contained inside a common convex set . We show that the union of tubes from such a…
math.CA2024★ 5 cited
The Assouad dimension of Kakeya sets in
Hong Wang, Joshua Zahl
This paper studies the structure of Kakeya sets in . We show that for every Kakeya set , there exist well-separated scales so that…