2 problems

Let $K$) be a $d$-dimensional convex body in $\mathbb{R}^d$, let $\mu$ be an absolutely continuous measure on $\mathbb{R}^d$, let $n\geq 2$ be a natural number, and let…

Let $n,d$ be positive integers, and let $(\mu^1_1,\dots,\mu^1_n),\dots,(\mu^d_1,\dots,\mu^d_n)$ be $d$ tuples of $n$ absolutely continuous probability measures on $\mathbb{R}^d$. A…