WIAS Preprint No. 95, (1994)

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



Authors

  • Bovier, Anton
  • Gayrard, Véronique
  • Picco, Pierre

2010 Mathematics Subject Classification

  • 60K35 82B44 82C32

DOI

10.20347/WIAS.PREPRINT.95

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.

Appeared in

  • Probab. Theory Related Fields, 101 (1995), pp. 511--546

Download Documents