# 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…

## One Citation

Fluctuations of the partition function in the generalized random energy model with external field

- Mathematics
- 2008

We study Derrida’s generalized random energy model (GREM) in the presence of uniform external field. We compute the fluctuations of the ground state and of the partition function in the thermodynamic…

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