112 citations · 316 across the 29 of their papers we have counts for
4 papers · 2 filters
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…
New improvement to Falconer distance set problem in higher dimensions
Xiumin Du, Yumeng Ou, Kevin Ren +1
We show that if a compact set has Hausdorff dimension larger than , where , then there is a point …
A singular variant of the Falconer distance problem
Tainara Borges, Alex Iosevich, Yumeng Ou
In this paper we study the following variant of the Falconer distance problem. Let be a compact subset of , , and define $$ \Box(E)=\left\{\sqrt{{|x-y|…
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…