RIGOROUS RESULTS FOR THE FREE-ENERGY IN THE HOPFIELD MODEL

被引：9

作者：

ALBEVERIO, S

TIROZZI, B

ZEGARLINSKI, B

机构：

[1] UNIV ROME, DEPT MATH, I-00100 ROME, ITALY

[2] BIBOS, BIELEFELD, GERMANY

[3] CERFIM, LOCARNO, SWITZERLAND

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 150卷 / 02期

关键词：

D O I：

10.1007/BF02096664

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that the free energy of the Hopfield model with a finite number of patterns can be represented in terms of an asymptotic series expansion in inverse powers of the neurons number. The series is Borel summable for large temperatures. We also establish mathematically some other interesting properties, partly used before in a seminal paper by Amit, Gutfreund and Sompolinsky.

引用

页码：337 / 373

页数：37

共 17 条

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