A generalized FKG-inequality for compositions

Published 28 Dec 2014 in math.AC, math.CO, and math.MG | (1412.8200v2)

Abstract: We prove a Fortuin-Kasteleyn-Ginibre-type inequality for the lattice of compositions of the integer n with at most r parts. As an immediate application we get a wide generalization of the classical Alexandrov-Fenchel inequality for mixed volumes and of Teissier's inequality for mixed covolumes.

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