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- W1649852172 abstract "In the paper we prove that any sumset or difference set has large E_3 energy. Also, we give a full description of families of sets having critical relations between some kind of energies such as E_k, T_k and Gowers norms. In particular, we give criteria for a set to be a 1) set of the form H+L, where H+H is small and L has random structure, 2) set equals a disjoint union of sets H_j, each H_j has small doubling, 3) set having large subset A' with 2A' is equal to a set with small doubling and |A'+A'| approx |A|^4 / E(A)." @default.
- W1649852172 created "2016-06-24" @default.
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- W1649852172 date "2014-05-13" @default.
- W1649852172 modified "2023-09-27" @default.
- W1649852172 title "Energies and structure of additive sets" @default.
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