Sourav Chatterjee
Published 2009-11-23Version 1
The Ghirlanda-Guerra identities are one of the most mysterious features of spin glasses. We prove the GG identities in a large class of models that includes the Edwards-Anderson model, the random field Ising model, and the Sherrington-Kirkpatrick model in the presence of a random external field. Previously, the GG identities were rigorously proved only `on average' over a range of temperatures or under small perturbations.
A connection between the Ghirlanda--Guerra identities and ultrametricity
Ghirlanda-Guerra identities and ultrametricity: An elementary proof in the discrete case
Some Properties of the Phase Diagram for Mixed $p$-Spin Glasses
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