New bounds for Kakeya problems

By Nets Hawk Katz, Terence Tao. 2001

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We establish new estimates on the Minkowski and Hausdorff dimensions of Kakeya sets and we obtain new bounds on the Kakeya maximal operator.

Subfields: Applied Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/387272235e7799b244f57695187b718eea2c1ba6