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cond-mat.dis-nn2001★ 3 cited
The spin-glass phase-transition in the Hopfield model with p-spin interactions
Anton Bovier, Beat Niederhauser
We study the Hopfield model with pure -spin interactions with even , and a number of patterns, M(N) growing with the system size, , as $M(N) = \a N^{p-1}$. We prove…
cond-mat.dis-nn1998★ 27 cited
Stochastic symmetry-breaking in a gaussian Hopfield model
Anton Bovier, Aernout C. D. van Enter, Beat Niederhauser
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 metasta…