Resumen de A note on typical sections of isotropic convex bodies

David Alonso Gutiérrez, Jesús Miguel Bastero Eleizalde , Julio Bernués Pardo

• Let K ⊂ Rn be a centrally symmetric isotropic convex body. We prove that for random F ∈ Gn,k, and k slowly growing to infinity, the central section |F? ∩K|1/k n−k is almost constant. A simple approach using standard concentration of measure arguments is given.