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math.MG2024
The isominwidth problem on the 2-sphere
Ansgar Freyer, Ádám Sagmeister
Pál's isominwidth theorem states that for a fixed minimal width, the regular triangle has minimal area. A spherical version of this theorem was proven by Bezdek and Blekherman, if…
math.MG2024
Unimodular Valuations beyond Ehrhart
Ansgar Freyer, Monika Ludwig, Martin Rubey
A complete classification of unimodular valuations on the set of lattice polygons with values in the spaces of polynomials and formal power series, respectively, is established. Th…
math.MG2024
The affine subspace concentration inequality for centered convex bodies
Katharina Eller, Ansgar Freyer
An affine version of the linear subspace concentration inequality as proposed by Wu is established for centered convex bodies. This generalizes results from Wu and Freyer, Henk, Ki…