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The Ghirlanda-Guerra Identities

Mathematical Physics 2007-05-23 v1 Disordered Systems and Neural Networks math.MP Probability

Abstract

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.

Cite

@article{arxiv.math-ph/0505055,
  title  = {The Ghirlanda-Guerra Identities},
  author = {Pierluigi Contucci and Cristian Giardina'},
  journal= {arXiv preprint arXiv:math-ph/0505055},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-07-22T16:26:08.437Z