Showing 2024 · math.MGShow all
3 papers · 2 filters
math.MG2024
The John inclusion for log-concave functions
G. Ivanov
John's inclusion states that a convex body in can be covered by the -dilation of its maximal volume ellipsoid. We obtain a certain John-type inclusion for log-con…
math.MG2024
Tight colorful no-dimensional Tverberg theorem
Polina Barabanshchikova, Grigory Ivanov, Alexander Polyanskii
We study colorful no-dimensional Tverberg-type problems and obtain several optimal results. A colorful no-dimensional Tverberg-type theorem provides a bound on a radius such th…
math.MG2024
Quantitative Steinitz theorem and polarity
Grigory Ivanov
The classical Steinitz theorem asserts that if the origin lies within the interior of the convex hull of a set , then there are at most points in w…