On the GREM approximation of TAP free energies
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929222124044288 |
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| author | Sebastiani, Giulia Schmidt, Marius Alexander |
| author_facet | Sebastiani, Giulia Schmidt, Marius Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13507 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the GREM approximation of TAP free energies Sebastiani, Giulia Schmidt, Marius Alexander Disordered Systems and Neural Networks Probability 60J80, 60G70, 82B44 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. |
| title | On the GREM approximation of TAP free energies |
| topic | Disordered Systems and Neural Networks Probability 60J80, 60G70, 82B44 |
| url | https://arxiv.org/abs/2401.13507 |