Analysis Seminar

Recent developments on Falconer’s distance set problem

Yumeng Ou ,City University of New York, Baruch College

Friday, February 8th, 2019
1:00 PM - 2:00 PM
Hylan 1106A

The Falconer Conjecture says that if $E$ is a compact set in $\mathbb{R}^d$ with Hausdorff dimension larger than $d/2$, then its distance set, consisting of all distinct distances generated by points in $E$, should have strictly positive Lebesgue measure. This conjecture remains open in all dimensions $d \geq 2$. In this talk we will discuss several recent developments on it, which are based on joint works with Xiumin Du, Larry Guth, Alex Iosevich, Hong Wang, Bobby Wilson, and Ruixiang Zhang.

Event contact: hazel dot mcknight at rochester dot edu