On the Gaussian behavior of marginals and the mean width of random polytopes
On the Gaussian behavior of marginals and the mean width of random polytopes
We show that the expected value of the mean width of a random polytope generated by $N$ random vectors ($n\leq N\leq e^{\sqrt n}$) uniformly distributed in an isotropic convex body in $\mathbb {R}^n$ is of the order $\sqrt {\log N} L_K$. This completes a result of Dafnis, Giannopoulos and Tsolomitis. …