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Correlation inequality

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Inequalities satisfied by the correlation functions

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A correlation inequality is any of a number of inequalities satisfied by the correlation functions of a model. Such inequalities are of particular use in statistical mechanics and in percolation theory.

Examples include:

Bell's inequality
FKG inequality
Griffiths inequality, and its generalisation, the Ginibre inequality
Gaussian correlation inequality

References

Ginibre, J. (1972). "Correlation inequalities in statistical mechanics.". Mathematical aspects of statistical mechanics. Providence, R. I.: Amer. Math. Soc. pp. 27–45. MR 0421547.

External links

Fishburn, P. C. (2001) , "Correlation inequalities", Encyclopedia of Mathematics, EMS Press

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