The Cavity Method at Zero Temperature

@article{Mzard2002TheCM,
  title={The Cavity Method at Zero Temperature},
  author={Marc M{\'e}zard and Giorgio Parisi},
  journal={Journal of Statistical Physics},
  year={2002},
  volume={111},
  pages={1-34}
}
In this note we explain the use of the cavity method directly at zero temperature, in the case of the spin glass on a lattice with a local tree like structure, which is the proper generalization of the usual Bethe lattice to frustrated problems. The computation is done explicitly in the formalism equivalent to “one step replica symmetry breaking;” we compute the energy of the global ground state, as well as the complexity of equilibrium states at a given energy. Full results are presented for a… 
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