The free energy of a class of Hopfield models |
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Authors: | M. Shcherbina B. Tirozzi |
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Affiliation: | (1) Institute of Low Temperature Physics and Engineering, 310164 Kharkov, Ukraine;(2) Department of Mathematics, University of Rome La Sapienza,, 00185 Rome, Italy |
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Abstract: | We show that in the limitp ,N 0,=p/N 0 the limit free energy of the Hopfield model equals in probability the Curie-Weiss free energy. We prove also that the free energy of the Hopfield model is self-averaging for any finite . |
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Keywords: | Free energy overlaps self-averaging |
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