A discrete Kakeya-type inequality
Presented by Marina Iliopoulou (Kent University)
Abstract: The Kakeya conjectures of harmonic analysis claim that congruent tubes that point in different directions rarely meet. In this talk we discuss the resolution of an analogous problem in a discrete setting (where the tubes are replaced by lines), and provide some structural information on quasi-extremal configurations. This is joint work with A. Carbery.
Marina is a lecturer at Kent University working in harmonic analysis.
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