Hong Wang

collaborators

4 papers

math.CA2026

Two-ends Furstenberg estimates in the plane

Hong Wang, Shukun Wu

We prove two-ends Furstenberg estimates in the plane for a Katz-Tao $(I^´, t)$ -set of lines, for general $t \in [0, 2]$ .

math.CA2026

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.CA2025

Ciprian Demeter, Hong Wang

We prove sharp estimates for incidences involving planar tubes that satisfy packing conditions. We apply them to improve the estimates for the Fourier transform of fractal measures…

Two-ends Furstenberg estimates in the plane

A streamlined proof of the Kakeya set conjecture in R3

Heilbronn's triangle problem in three dimensions

SzemerÃ©di-Trotter bounds for tubes and applications

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