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Showing 2023 · math.MGShow all
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math.MG2023
Breakdown points of Fermat-Weber problems under gauge distances
Andrei Comăneci, Frank Plastria
We compute the robustness of Fermat-Weber points with respect to any finite gauge. We show a breakdown point of where is the asymmetry measure of the gauge. We obtain…
math.MG2023★ 1 cited
Minkowski's successive minima in convex and discrete geometry
Iskander Aliev, Martin Henk
In this short survey we want to present some of the impact of Minkowski's successive minima within Convex and Discrete Geometry. Originally related to the volume of an -symmetri…
math.MG2023★ 1 cited
Convex Hulls of Curves: Volumes and Signatures
Carlos Améndola, Darrick Lee, Chiara Meroni
Taking the convex hull of a curve is a natural construction in computational geometry. On the other hand, path signatures, central in stochastic analysis, capture geometric propert…