Hong Wang

activity

20242026

most citedRestriction estimates using decoupling theorems and two-ends Furstenberg inequalities

1 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2026★ 1 cited

A streamlined proof of the Kakeya set conjecture in $R^{3}$

Larry Guth, Hong Wang, Joshua Zahl

We present a streamlined and simplified proof of the Kakeya set conjecture in $R^{3}$ .

math.CO2025

Heilbronn's triangle problem in three dimensions

Dominique Maldague, Hong Wang, Dmitrii Zakharov

We show that among any $n$ points in the unit cube one can find a triangle of area at most $n^{- 2/3 - c}$ for some absolute constant $c > 0$ . This gives the first non-trivial upper bo…

math.CA2024★ 1 cited

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Hong Wang, Shukun Wu

We propose to study the restriction conjecture using decoupling theorems and two-ends Furstenberg inequalities. Specifically, we pose a two-ends Furstenberg conjecture, which impli…

A streamlined proof of the Kakeya set conjecture in R3

Heilbronn's triangle problem in three dimensions

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

A streamlined proof of the Kakeya set conjecture in $R^{3}$