PARISI FORMULA FOR THE GROUND STATE ENERGY IN THE MIXED p-SPIN MODEL

被引：26

作者：

Auffinger, Antonio ^{[1
]}

Chen, Wei-Kuo ^{[2
]}

机构：

[1] Northwestern Univ, Dept Math, 2033 Sheridan Rd, Evanston, IL 60208 USA

[2] Univ Minnesota, Dept Math, 127 Vincent Hall,206 Church St SE, Minneapolis, MN 55455 USA

来源：

ANNALS OF PROBABILITY | 2017年 / 45卷 / 6B期

基金：

美国国家科学基金会;

关键词：

Spin glasses; ground state energy; Parisi formula;

D O I：

10.1214/16-AOP1173

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 show that the thermodynamic limit of the ground state energy in the mixed p-spin model can be identified as a variational problem. This gives a natural generalization of the Parisi formula at zero temperature.

引用

页码：4617 / 4631

页数：15

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