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math.CO2025
Heilbronn's triangle problem in three dimensions
Dominique Maldague, Hong Wang, Dmitrii Zakharov
We show that among any points in the unit cube one can find a triangle of area at most for some absolute constant . This gives the first non-trivial upper bo…
math.CA2025
Two-ends Furstenberg estimates in the plane
Hong Wang, Shukun Wu
We prove two-ends Furstenberg estimates in the plane for a Katz-Tao -set of lines, for general .