A generalized FKG-inequality for compositions

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• 作者：Dmitry Kerner^a ; ^{dmitry.kerner@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Andrá ; s Né ; methi^b ; ^{nemethi@renyi.hu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Fortuin&ndash ; Kasteleyn&ndash ; Ginibre inequality ; Ahlswede&ndash ; Daykin inequality ; Muirhead inequality ; Statistical mechanics ; Probabilistic combinatorics ; Young diagrams ; Alexandrov&ndash ; Fenchel inequality ; Convex polytopes ; Newton polytopes
• 刊名：Journal of Combinatorial Theory, Series A
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：146
• 期：Complete
• 页码：184-200
• 全文大小：373 K

文摘

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.