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

发布时间:2026-07-21浏览次数: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.





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