33 citations · 68 across the 11 of their papers we have counts for
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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 has Hausdorff dimension larger than , where , then there is a point …
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…