Hong Wang

collaborators

3 papers

math.CA2025

The Assouad dimension of Kakeya sets in $R^{3}$

Hong Wang, Joshua Zahl

This paper studies the structure of Kakeya sets in $R^{3}$ . We show that for every Kakeya set $K \subset R^{3}$ , there exist well-separated scales $0 < I^´ < I ¨ \leq 1$ so th…

math.CA2025

Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Hong Wang, Joshua Zahl

We study sets of $I^´$ tubes in $R^{3}$ , with the property that not too many tubes can be contained inside a common convex set $V$ . We show that the union of tubes from such…

math.GR2024

Symmetric Cayley graphs on non-abelian simple groups of valency 7

Xing Zhang, Yan-Quan Feng, Fu-Gang Yin +1

Let $I^$ be a connected $7$ -valent symmetric Cayley graph on a finite non-abelian simple group $G$ . If $I^$ is not normal, Li {\em et al.} [On 7-valent symmetric Cayley graphs of f…

The Assouad dimension of Kakeya sets in R3

Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Symmetric Cayley graphs on non-abelian simple groups of valency 7

The Assouad dimension of Kakeya sets in $R^{3}$