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math.CO2021
Sharp density bounds on the finite field Kakeya problem
Boris Bukh, Ting-Wei Chao
A Kakeya set in is a set containing a line in every direction. We show that every Kakeya set in has density at least , matching the con…
math.CO2021
Digital almost nets
Boris Bukh, Ting-Wei Chao
Digital nets (in base ) are the subsets of that contain the expected number of points in every not-too-small dyadic box. We construct sets that contain almost the expe…