33 citations · 105 across the 15 of their papers we have counts for
16 papers
On a free Schrödinger solution studied by Barceló--Bennett--Carbery--Ruiz--Vilela
Xiumin Du, Yumeng Ou, Hong Wang +1
We present a free Schrödinger solution studied by Barceló--Bennett--Carbery--Ruiz--Vilela and show why it can be viewed as a sharp example for the recently discovered refined decou…
An improved restriction estimate in
Hong Wang, Shukun Wu
We improve the restriction estimate in to the range , based on some Kakeya type incidence estimates and the refined decoupling theor…
On restricted projections to planes in
Shengwen Gan, Shaoming Guo, Larry Guth +3
Let be a non-degenerate curve in , that is to say, . For each , let $V_θ=γ(θ)^\pe…
The Bochner-Riesz problem: an old approach revisited
Shaoming Guo, Changkeun Oh, Hong Wang +2
We show that the recent techniques developed to study the Fourier restriction problem apply equally well to the Bochner-Riesz problem. This is achieved via applying a pseudo-confor…
Improved decoupling for the parabola
Larry Guth, Dominique Maldague, Hong Wang
We prove an decoupling inequality for the parabola with constant . In the appendix, we present an application to the six-order correlation of the integer s…
An improved result for Falconer's distance set problem in even dimensions
Xiumin Du, Alex Iosevich, Yumeng Ou +2
We show that if compact set has Hausdorff dimension larger than , where is an even integer, then the distance set of …
2D-Defocusing Nonlinear Schrödinger Equation with Random Data on Irrational Tori
Chenjie Fan, Yumeng Ou, Gigliola Staffilani +1
We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schrödinger equation in 2D on a square torus, and we prove the equivalent…
A sharp square function estimate for the cone in
Larry Guth, Hong Wang, Ruixiang Zhang
We prove a sharp square function estimate for the cone in and consequently the local smoothing conjecture for the wave equation in dimensions.
Small cap decouplings
Ciprian Demeter, Larry Guth, Hong Wang
We develop a toolbox for proving decouplings into boxes with diameter smaller than the canonical scale. As an application of this new technique, we solve three problems for which e…
Incidence estimates for well spaced tubes
Larry Guth, Noam Solomon, Hong Wang
We prove analogues of the Szemerédi-Trotter theorem and other incidence theorems using -tubes in place of straight lines, assuming that the -tubes are well-spaced in a strong…
Lower bounds for estimates of the Schrödinger maximal function
Xiumin Du, Jongchon Kim, Hong Wang +1
We give new lower bounds for estimates of the Schrödinger maximal function by generalizing an example of Bourgain.
On Falconer's distance set problem in the plane
Larry Guth, Alex Iosevich, Yumeng Ou +1
If is a compact set of Hausdorff dimension greater than , we prove that there is a point so that the set of distances $\{ |x-y| \}_{y \in E}…
Weighted restriction estimates and application to Falconer distance set problem
Xiumin Du, Larry Guth, Yumeng Ou +3
We prove some weighted Fourier restriction estimates using polynomial partitioning and refined Strichartz estimates. As application we obtain improved spherical average decay rates…
On a bilinear Strichartz estimate on irrational tori and some application
Chenjie Fan, Gigliola Staffilani, Hong Wang +1
We prove a bilinear Strichartz type estimate for irrational tori via a decoupling type argument, \cite{bourgain2014proof}, recovering and generalizing the result of \cite{de2006glo…
Exposition of Elekes Szabo paper
Hong Wang
We explain the Elekes Szabo paper in more details and improve the constant in one dimensional case in \mathbb{R} and \mathbb{C}.
Bounds of incidences between points and algebraic curves
Hong Wang, Ben Yang, Ruixiang Zhang
We prove new bounds on the number of incidences between points and higher degree algebraic curves. The key ingredient is an improved initial bound, which is valid for all fields. T…