TY  - INPR
A1  - Kistler, Nicola
A1  - Schmidt, Marius Alexander
A1  - Sebastiani, Giulia
T1  - On the REM approximation of TAP free energies
T2  - arXiv
N2  - The free energy of TAP-solutions for the SK-model of mean field spin glasses can be expressed as a nonlinear functional of local terms: we exploit this feature in order to contrive abstract REM-like models which we then solve by a classical large deviations treatment. This allows to identify the origin of the physically unsettling quadratic (in the inverse of temperature) correction to the Parisi free energy for the SK-model, and formalizes the true cavity dynamics which acts on TAP-space, i.e. on the space of TAP-solutions. From a non-spin glass point of view, this work is the first in a series of refinements which addresses the stability of hierarchical structures in models of evolving populations.
Y1  - 2022
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/85738
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-857385
UR  - https://arxiv.org/abs/2212.11718v1
IS  - 2212.11718 Version 1
PB  - arXiv
ER  -