On the stationary points of the TAP free energy

Details On the stationary points of the TAP free energy On the stationary points of the TAP free energy

1997-10-24

arxiv.org/abs/cond-mat/9710272v1

Phys. Rev. B, 57, 11251 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 1 Postscript figure, plain TeX

Scientific paper

10.1103/PhysRevB.57.11251

In the context of the p-spin spherical model, we introduce a method for the
computation of the number of stationary points of any nature (minima, saddles,
etc.) of the TAP free energy. In doing this we clarify the ambiguities related
to the approximations usually adopted in the standard calculations of the
number of states in mean field spin glass models.

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