Anton Bovier, Veronique Gayrard, Pierre Picco
 Large deviation principles for the Hopfield model and the
Kac-Hopfield model
(367K, Ps)

ABSTRACT.  We study the Kac version of he Hopfield model and prove a
Lebowitz-Penrose theorem for the distribution of the overlap
parameters. At the same time, we prove a large deviation principle for
the standard Hopfield model with infinitely many patterns.