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arXiv · 0911.4520

The Ghirlanda-Guerra identities without averaging

Sourav Chatterjee
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Abstract

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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Sourav Chatterjee. 2009-11-23. The Ghirlanda-Guerra identities without averaging. https://arxiv.org/abs/0911.4520

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