A Convex Body Associated to the Busemann Random Simplex Inequality and the Petty conjecture

Julián Eduardo Haddad

Given $L$ a convex body, the $L_p$-Busemann Random Simplex Inequality is closely related to the centroid body ${\Gamma }_{p}L$ for $p=1$ and $2$, and only in these cases it can be proved us…