# The infinite volume limit in generalized mean field disordered models

@article{Guerra2002TheIV, title={The infinite volume limit in generalized mean field disordered models}, author={Francesco Guerra and Fabio L. Toninelli University of Rome 'La Sapienza' and Infn and Rom{\'e} and Scuola Normale Superiore Pisa and Pisa}, journal={arXiv: Disordered Systems and Neural Networks}, year={2002} }

We generalize the strategy, we recently introduced to prove the existence of the thermodynamic limit for the Sherrington-Kirkpatrick and p-spin models, to a wider class of mean field spin glass systems, including models with multi-component and non-Ising type spins, mean field spin glasses with an additional Curie-Weiss interaction, and systems consisting of several replicas of the spin glass model, where replicas are coupled with terms depending on the mutual overlaps.

## 55 Citations

### Multi-Species Mean Field Spin Glasses. Rigorous Results

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