We give the explicit expression of the infinite volume limit for the random overlap structures appearing in the mean field spin glass model. These structures have the expected factorization property for the cavity fields, and enjoy invariance with respect to a large class of random transformations. These properties are typical of the Parisi Ansatz.
Phase diagram for the tap energy of the $p$-spin spherical mean field spin glass model
Quadratic replica coupling in the Sherrington-Kirkpatrick mean field spin glass model
About the overlap distribution in mean field spin glass models
