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math.CO2026
Bounded Ratios of Lorentzian Polynomials I: The Ternary Theory and Optimal Bounding Constants
Dijia Chen, Bowen Gan, Ivy Liu +2
We study bounded ratios and optimal bounding constants among the normalized coefficients of ternary Lorentzian polynomials. For every fixed -convex support and in arbitrary degr…
math.CO2026
Bounded Ratios of Lorentzian Polynomials II: The Complete Quadratic Local-to-Global Classification
Dijia Chen, Bowen Gan, Ivy Liu +2
Every quadratic Hessian slice of a Lorentzian polynomial yields bounded monomial ratios among the normalized coefficients of the polynomial. We determine exactly for which pairs $(…