The Brunn-Minkowski inequality for the generalized Gaussian distribution

Ge Xiong, Kai-Wen Yang

Let ${\mu }_p$ be the generalized Gaussian distribution on ${\mathbb{R}}^n$ with density $e^{-\frac{|x{|}^p}{p}}$ multiplied by a constant depending on $p\ge 1$ and $n$, and ${\alpha }_p(n)$ be the…