6 citations · 20 across the 10 of their papers we have counts for
4 papers · 1 filter
Rectifiable curves in proximally smooth sets
Grigory Ivanov, Mariana Lopushanski
We provide an algorithm of constructing a rectifiable curve between two sufficiently close points of a proximally smooth set in a uniformly convex and uniformly smooth Banach space…
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…
Functional John Ellipsoids
Grigory Ivanov, Márton Naszódi
We introduce a new way of representing logarithmically concave functions on . It allows us to extend the notion of the largest volume ellipsoid contained in a conve…
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…