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In the context of the p-spin spherical model, we introduce a method for thecomputation of the number of stationary points of any nature (minima, saddles,etc.) of the TAP free energy. In doing this we clarify the ambiguities relatedto the approximations usually adopted in the standard calculations of thenumber of states in mean field spin glass models.Comment: 11 pages, 1 Postscript figure, plain Te

Stationary points of the Thouless-Anderson-Palmer free energy