On the Gardner-Zvavitch conjecture: symmetry in the inequalities of Brunn-Minkowski type

Alexander V. Kolesnikov, Galyna V. Livshyts

In this paper, we study the conjecture of Gardner and Zvavitch from \cite{GZ}, which suggests that the standard Gaussian measure $\gamma$ enjoys $\frac{1}{n}$-concavity with respect to…