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math.CO2026
A note on bounded ratios
Lorenzo Baldi, Mario Kummer
We prove that the set of bounded ratios $\BR(X)$ on a semialgebraic set is the convex cone of linear forms that are nonnegative on the tropicalization $\trop(X)…
math.CO2026
Lorentzian polynomials and matroids over triangular hyperfields 2: Analytic aspects
Matthew Baker, June Huh, Mario Kummer +1
Brändén and Huh showed that Lorentzian polynomials unify Hodge-Riemann relations in combinatorics: their supports are M-convex, and every M-convex set supports a Lorentzian polynom…