On Sumsets of Convex Sets

@article{Schoen2011OnSO,
  title={On Sumsets of Convex Sets},
  author={T. Schoen and I. Shkredov},
  journal={Combinatorics, Probability and Computing},
  year={2011},
  volume={20},
  pages={793 - 798}
}
  • T. Schoen, I. Shkredov
  • Published 2011
  • Mathematics, Computer Science
  • Combinatorics, Probability and Computing
A set of reals A = {a1,. . .,an} is called convex if ai+1 − ai > ai − ai−1 for all i. We prove, among other results, that for some c > 0 every convex A satisfies |A−A| ≥ c|A|8/5log−2/5|A|. 

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