Correlation inequality explained

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.^[1]

Examples include:

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

Notes and References

1. Book: Ginibre, J.. 0421547. Correlation inequalities in statistical mechanics.. Mathematical aspects of statistical mechanics. 27 - 45. 1972. Amer. Math. Soc.. Providence, R. I..