Stationary points of the Thouless-Anderson-Palmer free energy

Abstract
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 Thouless-Anderson-Palmer 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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