The convexification effect of Minkowski summation

Matthieu Fradelizi, Mokshay Madiman, Arnaud Marsiglietti +1

Let us define for a compact set $A\subset {\mathbb{R}}^n$ the sequence $$ A(k) = \left\{\frac{a_1+\cdots +a_k}{k}: a_1, \ldots, a_k\in A\right\}=\frac{1}{k}\Big(\underset{k\ {\rm ti…