LARGE DEVIATION PRINCIPLES FOR THE HOPFIELD MODEL AND THE KAC-HOPFIELD MODEL

被引：14
|
作者：
BOVIER, A [1 ]
GAYRARD, V [1 ]
PICCO, P [1 ]
机构：
[1] CNRS,CTR PHYS THEOR,F-13288 MARSEILLE 9,FRANCE
来源：
PROBABILITY THEORY AND RELATED FIELDS | 1995年 / 101卷 / 04期
关键词：
D O I：
10.1007/BF01202783
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We study the Kac version of the 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.
引用
收藏
页码：511 / 546
页数：36
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