The XYZ conjecture and the FKG inequality

DOI10.1214/aop/1176993791zbMath0484.60010OpenAlexW2001496929WikidataQ123266270 ScholiaQ123266270MaRDI QIDQ1163777

Lawrence A. Shepp

Publication date: 1982

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993791

zbMATH Keywords

partially ordered setsFKG inequalityXYZ conjecture

Mathematics Subject Classification ID

Combinatorial probability (60C05) Combinatorial inequalities (05A20)

Related Items (20)

Some correlation inequalities in finite posets ⋮ Algebraic methods toward higher-order probability inequalities. II. ⋮ Maximizing a correlational ratio for linear extensions of posets ⋮ Linear extensions of infinite posets ⋮ Partitions of a finite three-complete poset ⋮ The cross-product conjecture for width two posets ⋮ Effective Poset Inequalities ⋮ A combinatorial approach to height sequences in finite partially ordered sets ⋮ Hook inequalities ⋮ Events correlated with respect to every subposet of a fixed poset ⋮ The FKG inequality for partially ordered algebras ⋮ Higher correlation inequalities ⋮ Correlation in partially ordered sets ⋮ A correlational inequality for linear extensions of a poset ⋮ Correlation Among Partial Orders ⋮ Random orders ⋮ Proportional transitivity in linear extensions of ordered sets ⋮ Universal correlations in finite posets ⋮ A note on linear extensions and incomparable pairs ⋮ Order Preserving Maps and Linear Extensions of a Finite Poset

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