Browsing by Author "Lee, Thomas"
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Item Asymptotics of the number of lattice points in the transportation polytope via optimization on Lorentzian polynomials.(University of Waterloo, 2025-04-28) Lee, ThomasWe formally extend the theory of polynomial capacity to power series and totally uni- modular matrices. Using these results, we prove the log-asymptotic correctness of bounds by Brändén, Leake, and Pak developed through the use of Lorentzian polynomials ([BLP23]) under certain conditions, and provide a counterexample where these bounds are not log- asymptotically correct, even when symmetry exists.