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Stochastic symmetry-breaking in a gaussian Hopfield model

Anton Bovier·Aernout C. D. van Enter·Beat Niederhauser
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Abstract

We study a ``two-pattern'' Hopfield model with Gaussian disorder. We find that there are infinitely many pure states at low temperatures in this model, and we find that the metastate is supported on an infinity of symmetric pairs of pure states. The origin of this phenomenon is the random breaking of a rotation symmetry of the distribution of the disorder

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Anton Bovier, Aernout C. D. van Enter, Beat Niederhauser. 1998-07-06. Stochastic symmetry-breaking in a gaussian Hopfield model. https://doi.org/10.1023/a%3A1004529528273

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