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

页码：511 / 546

页数：36

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