ACO The ACO Seminar (2015–2016)

Nov. 19, 3:30pm, Wean 8220
Hamed Hatami, McGill University
A characterization of functions with vanishing averages over products of disjoint sets

Abstract:

We characterize all integrable functions f: [0, 1]m → R satisfying ∫A1 × ... × Am f=0, for any collection of disjoint sets A1,..., Am ⊆ [0, 1] with prescribed measures, and furthermore use this characterization to settle some conjectures of Janson and Sós on pseudo-random graph properties.

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