February 22, 2019
4:00PM - 5:00PM
Journalism Building 295
Add to Calendar
2019-02-22 17:00:00
2019-02-22 18:00:00
Analysis and Operator Theory Seminar - Yumeng Ou
Title: Recent developments on Falconer's distance set problem
Speaker: Yumeng Ou (CUNY New York)
Abstract: 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.
Journalism Building 295
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-02-22 16:00:00
2019-02-22 17:00:00
Analysis and Operator Theory Seminar - Yumeng Ou
Title: Recent developments on Falconer's distance set problem
Speaker: Yumeng Ou (CUNY New York)
Abstract: 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.
Journalism Building 295
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Recent developments on Falconer's distance set problem
Speaker: Yumeng Ou (CUNY New York)
Abstract: 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.