Large deviation principles for the Hopfield model and the Kac-Hopfield model

Abstract

We study the Kac version of the Hopfield model and prove a Lebowitz-Penrose theorem for the distributions of the overlap parameters. At the same time, we prove a large deviation principle for the standard Hopfield model with infinitely many patterns. (orig.)Available from TIB Hannover: RR 5549(95)+a / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman