Double-jump phase transition for the reverse Littlewood--Offord problem

Lawrence Hollom, Julien Portier, Victor Souza

Erdős conjectured in 1945 that for any unit vectors $v_1,\dots ,v_n$ in ${\mathbb{R}}^2$ and signs ${\epsilon }_1,\dots ,{\epsilon }_n$ taken independently and uniformly in $\{-…