Tomasz Schoen, Ilya D. Shkredov
Published 2011-05-18Version 1
A set of reals A={a_1,...,a_2} is called convex if a_{i+1} - a_i > a_i - a_{i-1} for all i. We prove, in particular, that |A-A| \gg |A|^{8/5} \log{-2/5} |A|.
Pattern Recognition on Oriented Matroids: Halfspaces, Convex Sets and Tope Committees
On convex sets associated with permutations, cuts, and certain metrics
Piercing families of convex sets in the plane that avoid a certain subfamily with lines
![QR code for arXiv:1105.3542 [math.CO]](http://oss.arxitics.com/images/favicon.svg)