Cotype of random polytopes

Han Huang, Konstantin Tikhomirov

For $N\ge n$, let $P_{N,n}$ be a random polytope in ${\mathbb{R}}^n$ with vertices $\pm X_i$, $1\le i\le N$, where $X_1,\dots ,X_N$ are i.i.d standard Gaussian vectors in ${\mathb…