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math.CA2026
On the proof of Falconer distance conjecture
Kotaro Inami, Jianbin Li, Yudong Liang +2
We are able to catch the main idea from OpenAI's recent release and present a proof of Falconer distance conjecture in our own words. Arguments are judiciously simplified and caref…
math.CA2026
Lecture note on Fourier decoupling theory and its applications
Yudong Liang
This paper is based on lecture notes taken and organized during the 17th Graduate Mathematics Intensive Training Program (Spring 2025), held at the Beijing International Center for…