Correlation inequality
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Short description: Inequalities satisfied by the correlation functions
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.
External links
- Hazewinkel, Michiel, ed. (2001), "Correlation inequalities", Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4, https://www.encyclopediaofmath.org/index.php?title=Main_Page
Original source: https://en.wikipedia.org/wiki/Correlation inequality.
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