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arXiv · 2609.22035

Kakeya and Furstenberg problems for sticky sets of tubes

Hong Wang·Dmitrii Zakharov
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Abstract

We study incidence problems for sticky sets of tubes. In the first part, we prove a sharp Furstenberg set estimate for sticky sets of tubes in $\mathbb R^3$ satisfying convex Wolff axioms. In the second part, we prove the Kakeya set conjecture in $\mathbb R^4$ for sticky sets of tubes satisfying convex Wolff axioms.

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Hong Wang, Dmitrii Zakharov. 2026-09-18. Kakeya and Furstenberg problems for sticky sets of tubes. https://arxiv.org/abs/2609.22035

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