Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates

Release time:2026-07-21Views:10



Title: Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates

Speaker: Bochen LiuSouthern University of Science and Technology

 

Time: 7.31(Friday), 10:30-11:30 

Venue: Mingde Building B201-1

 

Abstract: I prove that, if a regular planar set has dimension greater than 1, then its distance set must have positive Lebesgue measure. This settles the regular case of the Falconer distance conjecture in the plane.



Copyright (C)2017 Institute for Advanced Study in Mathematics of HIT All Rights Reserved.
Recruitment:
Contact Us:
Tel:0451-86413107      Email:IASM@hit.edu.cn
Add:NO.92 West Da Zhi St. Harbin China
Technical support:Net & Information Center,HIT