A generalized FKG-inequality for compositions
  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. 
Dmitry Kerner, Andr\'as N\'emethi
math.AC math.CO math.MG