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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 with respect to reflections across affine subspaces of a given dimension. We pro…