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math.MG2022★ 3 cited
Functional John and Löwner conditions for pairs of log-concave functions
Grigory Ivanov, Márton Naszódi
John's fundamental theorem characterizing the largest volume ellipsoid contained in a convex body in has seen several generalizations and extensions. One directi…
math.MG2022★ 6 cited
Quantitative Steinitz Theorem: A polynomial bound
Grigory Ivanov, Márton Naszódi
The classical Steinitz theorem states that if the origin belongs to the interior of the convex hull of a set , then there are at most points of who…
math.CO2022
Erdős--Ko--Rado and Hilton--Milner theorems for two-forms
Grigory Ivanov, Seyda Köse
In this short note we show that both generalizations of celebrated Erdős--Ko--Rado theorem and Hilton--Milner theorem to the setting of exterior algebra in the simplest non-trivial…