Inverse Littlewood-Offord problems for Quasi-Norms

Omer Friedland, Ohad Giladi, Olivier Guédon

Given a star-shaped domain $K\subseteq {\mathbb{R}}^d$, $n$ vectors $v_1,\dots ,v_n\in {\mathbb{R}}^d$, a number $R>0$, and i.i.d. random variables ${\eta }_1,\dots ,{\eta }_n$, we study the geometri…