Correlation inequality
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
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) [1994], "Correlation inequalities", Encyclopedia of Mathematics, EMS Press
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