95-188 Anton Bovier, V\'eronique Gayrard
An almost sure large deviation principle for the Hopfield model (326K, PS) Apr 3, 95
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Abstract. We prove a large deviation principle for the finite dimensional marginals of the Gibbs distribution of the macroscopic `overlap'-parameters in the Hopfield model in the case where the number of random patterns, \$M\$, as a function of the system size \$N\$ satisfies \$\limsup M(N)/N=0\$. In this case the rate function (or free energy as a function of the overlap parameters) is independent of the disorder for almost all realization of the patterns and given by an explicit variational formula.

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