The Ghirlanda-Guerra identities without averaging

Details The Ghirlanda-Guerra identities without averaging The Ghirlanda-Guerra identities without averaging

2009-11-23

arxiv.org/abs/0911.4520v1

Mathematics

Probability

7 pages

Scientific paper

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.

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