Asymptotic estimates for the largest volume ratio of a convex body

Daniel Galicer, Mariano Merzbacher, Damián Pinasco

The largest volume ratio of given convex body $K\subset {\mathbb{R}}^n$ is defined as $$\mbox{lvr}(K):= \sup_{L \subset \mathbb{R}^n} \mbox{vr}(K,L),$$ where the $\sup$ runs over al…