A correlation inequality is any of a number of inequalities satisfied by the
correlation function
A correlation function is a function that gives the statistical correlation between random variables, contingent on the spatial or temporal distance between those variables. If one considers the correlation function between random variables ...
s of a model. Such inequalities are of particular use in
statistical mechanics
In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. Sometimes called statistical physics or statistical thermodynamics, its applicati ...
and in
percolation theory
In statistical physics and mathematics, percolation theory describes the behavior of a network when nodes or links are added. This is a geometric type of phase transition, since at a critical fraction of addition the network of small, disconnected ...
.
Examples include:
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Bell's inequality
Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with local hidden-variable theories, given some basic assumptions about the nature of measuremen ...
*
FKG inequality
*
Griffiths inequality, and its generalisation, the
Ginibre inequality
*
Gaussian correlation inequality
References
External links
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Probabilistic inequalities
Statistical mechanics
Inequalities (mathematics)
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