15 citations · 27 across the 4 of their papers we have counts for
10 papers
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 …
Finite Point Configurations and the Regular Value Theorem in a Fractal setting
Yumeng Ou, Krystal Taylor
In this article, we study two problems concerning the size of the set of finite point configurations generated by a compact set . The first problem concerns…
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…
Sparse domination and the strong maximal function
Alex Barron, Jose M. Conde-Alonso, Yumeng Ou +1
We study the problem of dominating the dyadic strong maximal function by -type sparse forms based on rectangles with sides parallel to the axes, and show that such dominati…
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}…
Endpoint sparse bounds for Walsh-Fourier multipliers of Marcinkiewicz type
Wei Chen, Amalia Culiuc, Francesco Di Plinio +2
We prove endpoint-type sparse bounds for Walsh-Fourier Marcinkiewicz multipliers and Littlewood-Paley square functions. These results are motivated by conjectures of Lerner in the…