The Sherrington-Kirkpatrick model: a challenge for mathematicians

被引：57
|
作者：
Talagrand, M
机构：
[1] Univ Paris 06, Equipe Anal, ERA CNRS 754, F-75230 Paris 05, France
[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
来源：
PROBABILITY THEORY AND RELATED FIELDS | 1998年 / 110卷 / 02期
关键词：
Mathematics Subject Classification (1991): Primary: 82A57. Secondary: 60G15; 60E15;
D O I：
10.1007/s004400050147
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：
The Sherrington-Kirkpatrick (SK) model for spin glasses is deceptively simple to state. Yet its rigorous study represents a considerable challenge. We report here some modest progresses (obtained through elementary methods). Even in the supposedly simple high temperature region, a number of basic questions remain unsolved.
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页码：109 / 176
页数：68
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