A. Caragea

collaborators

3 papers

math.FA2025

Principal minors of Fourier matrices of square-free order

Andrei Caragea, Dae Gwan Lee, Romanos Malikiosis +1

Chebotarev's theorem on roots of unity states that all minors of a Fourier matrix are non-zero if and only if the order of the matrix is prime. We establish cases in which all prin…

math.MG2025

Minkowski chirality: a measure of reflectional asymmetry of convex bodies

Andrei Caragea, Katherina von Dichter, Kurt Klement Gottwald +3

Using an optimal containment approach, we quantify the asymmetry of convex bodies in $R^{n}$ with respect to reflections across affine subspaces of a given dimension. We pro…

math.FA2024

On the principal minors of Fourier matrices

Andrei Caragea, Dae Gwan Lee

For the $N$ -dimensional Fourier matrix $F_{N}$ , we prove that if $N \geq 4$ is square-free, then every $2 \times 2$ and $3 \times 3$ principal minor of $F_{N}$ is non…