1 citations · 2 across the 6 of their papers we have counts for
7 papers
High-low method and -adic Furstenberg set over the plane
Kevin Ren, Jiahe Shen
We establish a -adic analogue of a recent significant result of Ren-Wang (arXiv:2308.08819) on Furstenberg sets in the Euclidean plane. Building on the -adic version of the h…
Triadic structures in multislice networks
Kevin Ren, Tara Trauthwein, Gesine Reinert
Networks provide a popular representation of complex data. Often, different types of relational measurements are taken on the same subjects. Such data can be represented as a \text…
Incidence bounds related to circular Furstenberg sets
John Green, Terence L. J. Harris, Yumeng Ou +2
We prove bounds on approximate incidences between families of circles and families of points in the plane. As a consequence, we prove a lower bound for the dimension of circular $(…
On the projections of almost Ahlfors regular sets
Tuomas Orponen, Kevin Ren
We show that the "sharp Kaufman projection theorem" from 2023 is sharp in the class of Ahlfors -regular sets. This is in contrast with a recent result of the first auth…
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…
Discretized Radial Projections in
Kevin Ren
We generalize a Furstenberg-type result of Orponen-Shmerkin to higher dimensions, leading to an -improvement in Kaufman's projection theorem for hyperplanes and an unconditional…
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 …