3 problems

Let $D$ denote the Euclidean unit ball in $\mathbb{R}^n$, and let $M^*(A)$ denote the mean width functional used in the paper. For a set $S=\{x_i\}_{i=1}^{2^k}\subset\mathbb{R}^n$,…

Let $X$ be a centered Gaussian random vector in $\mathbbm{R}^n$ such that … and let $S$ be a centered Gaussian random vector whose covariance matrix is defined by the regular-simpl…

Let $n\ge 3$, and consider simplices inscribed into the $n$-dimensional unit ball. For a convex body $K$ in Euclidean space, its mean width is denoted by $w(K)$. Simplex mean width…