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We study the geometrical structure of the states in the low temperature phaseof a mean field model for generalized spin glasses, the p-spin spherical model.This structure cannot be revealed by the standard methods, mainly due to thepresence of an exponentially high number of states, each one having a vanishingweight in the thermodynamic limit. Performing a purely entropic computation,based on the TAP equations for this model, we define a constrained complexitywhich gives the overlap distribution of the states. We find that thisdistribution is continuous, non-random and highly dependent on the energy rangeof the considered states. Furthermore, we show which is the geometrical shapeof the threshold landscape, giving some insight into the role played bythreshold states in the dynamical behaviour of the system.Comment: 18 pages, 8 PostScript figures, plain Te

An investigation of the hidden structure of states in a mean-field spin-glass model