
FKG inequality - Wikipedia
In mathematics, the Fortuin–Kasteleyn–Ginibre (FKG) inequality is a correlation inequality, a fundamental tool in statistical mechanics and probabilistic combinatorics (especially random graphs and the probabilistic method), due to Cees M. …
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FKG and related inequalities For x = (x 1,...,x n) ∈ Rn and y = (y 1,...,y n) ∈ Rn define x ∨ y = (x 1 ∨ y 1,...,x n ∨ y n) and x ∧ y = (x 1 ∧ y 1,...,x n ∧ y n). Write x ≤ y to mean x ∨y = x. Say that a function f on Rn is increasing if it is an increasing function in each of its arguments (for fixed values of the other ...
FKG inequality - Encyclopedia of Mathematics
2024年4月13日 · An inequality [a3] that began a series of correlation inequalities for finite partially ordered sets.
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