- 98-488 Anton Bovier, Aernout C.D. van Enter, Beat Niederhauser
- Stochastic symmetry-breaking in a Gaussian Hopfield-model
(188K, PS)
Jul 3, 98
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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 variables.
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