Large deviation principles for the Hopfield model and the Kac-Hopfield model
- Bovier, Anton
- Gayrard, Véronique
- Picco, Pierre
2010 Mathematics Subject Classification
- 60K35 82B44 82C32
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.
- Probab. Theory Related Fields, 101 (1995), pp. 511--546