2 papers
math.MG2026
An Improved Volume Ratio Bound via Isotropic Positions
Daniel Galicer, Mariano Merzbacher, Damián Pinasco
We show that, for every pair of convex bodies , The main point is to place and in isotropi…
math.MG2022
On the volume ratio of projections of convex bodies
Daniel Galicer, Alexander E. Litvak, Mariano Merzbacher +1
We study the volume ratio between projections of two convex bodies. Given a high-dimensional convex body we show that there is another convex body such that the volume rati…