A non-uniform Littlewood-Offord inequality

Dainius Dzindzalieta, Tomas Juškevičius

Consider a sum $S_n=v_i{\epsilon }_1+\cdots +v_n{\epsilon }_n$, where $(v_i{)}_{i=1}^n$ are non-zero vectors in ${\mathbb{R}}^d$ and $({\epsilon }_i{)}_{i=1}^n$ are independent Ra…