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2009

The Ghirlanda-Guerra identities without averaging

Chatterjee, Sourav

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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.

The Ghirlanda-Guerra identities without averaging · Around

Built on

Edwards, S. F
1975
Earlier work this paper cites.
Sherrington, D
1975
Earlier work this paper cites.
Ruelle, D. (1999)
1989
Earlier work this paper cites.
Aizenman, M
1998
Earlier work this paper cites.
Ghirlanda, S
1998
Earlier work this paper cites.

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