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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.

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Jun 5, 2026
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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.1

Examples include:

References

References

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