Conlon, D; Gowers, William Timothy (Oxford University PressQuarterly Journal of Mathematics, 2017-02-03)
A result of Fiz Pontiveros shows that if $A$ is a random subset of $\mathbb{Z}_N$ where each element is chosen independently with probability $N^{-1/2+o(1)}$, then with high probability every Freiman homomorphism defined ...