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Bounded Ratios of Lorentzian Polynomials II: The Complete Quadratic Local-to-Global Classification
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 $(n,d)$ these quadratic-slice ratios generate the full bounded-ratio cone for every $M$-convex support $S\subseteqΔ_n^d$.
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