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- W4379285105 abstract "Motivated by the Lam--Pylyavskyy inequalities for Schur functions, we give a far reaching multivariate generalization of Fishburn's correlation inequality for the number of linear extensions of posets. We then give a multivariate generalization of the Daykin--Daykin--Paterson inequality proving log-concavity of the order polynomial of a poset. We also prove a multivariate $P$-partition version of the cross-product inequality by Brightwell--Felsner--Trotter. The proofs are based on a multivariate generalization of the Ahlswede--Daykin inequality." @default.
- W4379285105 created "2023-06-05" @default.
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- W4379285105 date "2023-06-02" @default.
- W4379285105 modified "2023-09-26" @default.
- W4379285105 title "Multivariate correlation inequalities for P-partitions" @default.
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- W4379285105 doi "https://doi.org/10.2140/pjm.2023.323.223" @default.
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