The generalized TAP free energy II
| Autor: | Chen, Wei-Kuo, Panchenko, Dmitry, Subag, Eliran |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Commun. Math. Phys., 381, no. 1 (2021) 257--291 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00220-020-03887-x |
| Popis: | In a recent paper [14], we developed the generalized TAP approach for mixed $p$-spin models with Ising spins at positive temperature. Here we extend these results in two directions. We find a simplified representation for the energy of the generalized TAP states in terms of the Parisi measure of the model and, in particular, show that the energy of all states at a given distance from the origin is the same. Furthermore, we prove the analogues of the positive temperature results at zero temperature, which concern the ground-state energy and the organization of ground-state configurations in space. Comment: 28 pages |
| Databáze: | arXiv |
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