Kerner, D. and Némethi, András (2017) A generalized FKG-inequality for compositions. JOURNAL OF COMBINATORIAL THEORY SERIES A, 146. pp. 184-200. ISSN 0097-3165
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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.
| Item Type: | Article |
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| Uncontrolled Keywords: | Young diagrams; Statistical mechanics; Probabilistic combinatorics; Newton polytopes; Muirhead inequality; Fortuin–Kasteleyn–Ginibre inequality; Convex polytopes; Alexandrov–Fenchel inequality; Ahlswede–Daykin inequality |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Feb 2018 15:36 |
| Last Modified: | 03 Feb 2018 15:36 |
| URI: | http://real.mtak.hu/id/eprint/73783 |
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