G. Ivanov

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20172022

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4 papers · 1 filter

math.FA2020

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…

math.FA2020

Functional Löwner Ellipsoids

Grigory Ivanov, Igor Tsiutsiurupa

We extend the notion of the smallest volume ellipsoid containing a convex body in~ $R^{d}$ to the setting of logarithmically concave functions. We consider a vast class of…

math.FA2019

Approximation of the average of some random matrices

Grigory Ivanov, Márton Naszódi, Alexandr Polyanskii

Rudelson's theorem states that if for a set of unit vectors $u_{i}$ and positive weights $c_{i}$ , we have that $\sum c_{i} u_{i} \otimes u_{i}$ is the identity operator $I$ on $R^{d}$ …

math.FA2017

On the volume of the John-Löwner ellipsoid

Grigory Ivanov

We find an optimal upper bound on the volume of the John ellipsoid of a $k$ -dimensional section of the $n$ -dimensional cube, and an optimal lower bound on the volume of the Löwner…