The cavity method is an alternative method, often of simpler use than the replica method, for studying disordered mean field problems.
2.
It can be regarded as a generalization of the replica method which is mathematically more subtle and less intuitive than the cavity approach.
3.
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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