Correlation inequality

{{short description|Inequalities satisfied by the correlation functions}}

{{one source |date=March 2024}}

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.{{cite book|mr=0421547|last=Ginibre|first=J.|chapter=Correlation inequalities in statistical mechanics.|title=Mathematical aspects of statistical mechanics|pages=27–45|year=1972|publisher= Amer. Math. Soc.|location=Providence, R. I.}}

Examples include:

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