• Corpus ID: 16108668

The Aizenman-Sims-Starr scheme for the SK model with multidimensional spins

@article{Bovier2007TheAS,
  title={The Aizenman-Sims-Starr scheme for the SK model with multidimensional spins},
  author={Anton Bovier and Anton Klimovsky},
  journal={arXiv: Probability},
  year={2007}
}
The non-hierarchical correlation structure of the Sherrington-Kirkpatrick (SK) model with multidimensional (e.g. Heisenberg) spins is studied at the level of the logarithmic asymptotic of the corresponding sum of the correlated exponentials -- the thermodynamic pressure. For this purpose an abstract quenched large deviations principle (LDP) of Gaertner-Ellis type is obtained under an assumption of measure concentration. With the aid of this principle the framework of the Aizenman-Sims-Starr… 
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