The cavity method is an alternative method, often of simpler use than the replica method, for studying disordered mean field problems.
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It can be regarded as a generalization of the replica method which is mathematically more subtle and less intuitive than the cavity approach.
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The equilibrium solution of the model, after some initial attempts by Sherrington, Kirkpatrick and others, was found by Giorgio Parisi in 1979 within the replica method.
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