2 papers
math.FA2020
Functional Löwner Ellipsoids
Grigory Ivanov, Igor Tsiutsiurupa
We extend the notion of the smallest volume ellipsoid containing a convex body in~ to the setting of logarithmically concave functions. We consider a vast class of…
math.MG2020
On the volume of sections of the cube
Grigory Ivanov, Igor Tsiutsiurupa
We study the properties of the maximal volume -dimensional sections of the -dimensional cube . We obtain a first order necessary condition for a -dimensional sub…