The FKG inequality for partially ordered algebras

DOI10.1007/s10959-007-0117-7zbMath1144.82016OpenAlexW2043799185MaRDI QIDQ927252

Siddhartha Sahi

Publication date: 4 June 2008

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-007-0117-7

zbMATH Keywords

Ahlswede-Daykin inequalityFortuin-Kasteleyn-Ginibre (FKG) inequalityCorrelation inequalityDistributive latticePartially ordered algebras

Mathematics Subject Classification ID

Partial orders, general (06A06) Combinatorial inequalities (05A20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

On the extension of the FKG inequality to n functions ⋮ A \(q\)-analogue of the FKG inequality and some applications

Cites Work

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• Inequalities of FKG type
• Higher correlation inequalities
• A generalized Cauchy-Binet formula and applications to total positivity and majorization
• The XYZ conjecture and the FKG inequality
• Correlation inequalities on some partially ordered sets
• Correlation inequalities and a conjecture for permanents
• Algebraic methods toward higher-order probability inequalities. II.
• Some conditional correlation inequalities for percolation and related processes
• An inequality for the weights of two families of sets, their unions and intersections
• Monotonicity properties of optimal transportation and the FKG and related inequalities

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