On the GREM approximation of TAP free energies

Author:

Giulia Sebastiani, Marius Alexander Schmidt

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn), Probability (math.PR)

journal:

date:

2024-01-24 00:00:00

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.

PDF: On the GREM approximation of TAP free energies.pdf