Christopher Eur

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math.CO2026

Tree metrics and log-concavity for matroids

Federico Ardila-Mantilla, Sergio Cristancho, Graham Denham +3

We show that a set function $I^½$ satisfies the gross substitutes property if and only if its homogeneous generating polynomial $Z_{q, I^½}$ is a Lorentzian polynomial for all positiv…

math.CO2024

The tropical critical points of an affine matroid

Federico Ardila-Mantilla, Christopher Eur, Raul Penaguiao

We prove that the number of tropical critical points of an affine matroid (M,e) is equal to the beta invariant of M. Motivated by the computation of maximum likelihood degrees, thi…