M'arton Nasz'odi

activity

20112021

most citedArrangements of homothets of a convex body

8 citations · 28 across the 11 of their papers we have counts for

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Showing 2019Show all

4 papers · 1 filter

math.MG2019

Angular measures and Birkhoff orthogonality in Minkowski planes

Márton Naszódi, Vilmos Prokaj, Konrad Swanepoel

Let $x$ and $y$ be two unit vectors in a normed plane $R^{2}$ . We say that $x$ is Birkhoff orthogonal to $y$ if the line through $x$ in the direction $y$ supports the unit d…

math.FA2019★ 5 cited

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.MG2019

Colorful Helly-type Theorems for the Volume of Intersections of Convex Bodies

Gábor Damásdi, Viktória Földvári, Márton Naszódi

We prove the following Helly-type result. Let $C_{1}, \dots, C_{3 d}$ be finite families of convex bodies in $R^{d}$ . Assume that for any colorful selection o…

math.MG2019★ 1 cited

Perron and Frobenius meet Carathéodory

Márton Naszódi, Alexandr Polyanskii

We present a new approach of proving certain Carathéodory-type theorems using the Perron-Frobenius Theorem, a classical result in matrix theory describing the largest eigenvalue of…