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

collaborators

Showing 2020Show all

2 papers · 1 filter

math.CA2020★ 8 cited

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 $E \subset R^{d}$ has Hausdorff dimension larger than $\frac{d}{2} + \frac{1}{4}$ , where $d \geq 4$ is an even integer, then the distance set of $E$ …

math.AP2020

Counterexamples to $L^{p}$ collapsing estimates

Xiumin Du, Matei Machedon

We show that certain $L^{2}$ space-time estimates for generalized density matrices which have been used by several authors in recent years to study equations of BBGKY or Hartree-Fock…

An improved result for Falconer's distance set problem in even dimensions

Counterexamples to Lp collapsing estimates

Counterexamples to $L^{p}$ collapsing estimates