4 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…