Title | ||
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A characterization of functions with vanishing averages over products of disjoint sets |
Abstract | ||
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Given α 1 , ¿ , α m ¿ ( 0 , 1 ) , we characterize all integrable functions f : 0 , 1 m ¿ C satisfying ¿ A 1 × ¿ × A m f = 0 for any collection of disjoint measurable sets A 1 , ¿ , A m ¿ 0 , 1 of respective measures α 1 , ¿ , α m . We use this characterization to settle some of the conjectures in Janson and Sós (2015) about the relation between subgraph counts and quasi-randomness. |
Year | DOI | Venue |
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2016 | 10.1016/j.ejc.2016.03.002 | Eur. J. Comb. |
Field | DocType | Volume |
Integrable system,Discrete mathematics,Combinatorics,Disjoint sets,Measure (mathematics),Mathematics | Journal | 56 |
Issue | ISSN | Citations |
C | 0195-6698 | 1 |
PageRank | References | Authors |
0.36 | 3 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hamed Hatami | 1 | 216 | 23.09 |
Pooya Hatami | 2 | 94 | 14.40 |
yaqiao li | 3 | 1 | 1.72 |