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The free energy of a class of Hopfield models

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Abstract

We show that in the limitp→ ∞,N → 0,α=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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Shcherbina, M., Tirozzi, B. The free energy of a class of Hopfield models. J Stat Phys 72, 113–125 (1993). https://doi.org/10.1007/BF01048042

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  • DOI: https://doi.org/10.1007/BF01048042

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