English

On the GREM approximation of TAP free energies

Disordered Systems and Neural Networks 2024-01-25 v1 Probability

Abstract

We establish both a Boltzmann-Gibbs principle and a Parisi formula for the limiting free energy of an abstract GREM (Generalized Random Energy Model) which provides an approximation of the TAP (Thouless-Anderson-Palmer) free energies associated to the Sherrington-Kirkpatrick (SK) model.

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Cite

@article{arxiv.2401.13507,
  title  = {On the GREM approximation of TAP free energies},
  author = {Giulia Sebastiani and Marius Alexander Schmidt},
  journal= {arXiv preprint arXiv:2401.13507},
  year   = {2024}
}

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17 pages