Xiumin Du

activity

20152023

most citedWeighted restriction estimates and application to Falconer distance set problem

33 citations · 87 across the 14 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.CA2023★ 1 cited

Weighted refined decoupling estimates and application to Falconer distance set problem

Xiumin Du, Yumeng Ou, Kevin Ren +1

We prove some weighted refined decoupling estimates. As an application, we give an alternative proof of the following result on Falconer's distance set problem by the authors in a…

math.CA2023

New improvement to Falconer distance set problem in higher dimensions

Xiumin Du, Yumeng Ou, Kevin Ren +1

We show that if a compact set $E \subset R^{d}$ has Hausdorff dimension larger than $\frac{d}{2} + \frac{1}{4} - \frac{1}{8 d + 4}$ , where $d \geq 3$ , then there is a point $x \in E$ …

math.CA2023

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…