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Overlap Equivalence in the Edwards-Anderson Model
Pierluigi Contucci, Cristian Giardina, Claudio Giberti +1
We study the relative fluctuations of the link overlap and the square standard overlap in the three dimensional Gaussian Edwards-Anderson model with zero external field. We first a…
The Ghirlanda-Guerra Identities
Pierluigi Contucci, Cristian Giardina'
If the variance of a Gaussian spin-glass Hamiltonian grows like the volume the model fulfills the Ghirlanda-Guerra identities in terms of the normalized Hamiltonian covariance.
Factorization Properties in the 3D Edwards-Anderson Model
Pierluigi Contucci, Cristian Giardina
Starting from the study of a linear combination of multi-overlaps which can be rigorously shown to vanish for large systems we numerically analyze the factorization properties of t…
Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model
Pierluigi Contucci, Satoshi Morita, Hidetoshi Nishimori
For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free…