The Parisi formula

被引：376

作者：

Talagrand, Michel ^{[1
]}

机构：

[1] Univ Paris 06, Paris, France

[2] Ohio State Univ, Columbus, OH 43210 USA

来源：

ANNALS OF MATHEMATICS | 2006年 / 163卷 / 01期

关键词：

D O I：

10.4007/annals.2006.163.221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Guerra's interpolation scheme, we compute the free energy of the Sherrington-Kirkpatrick model for spin glasses at any temperature, confirming a celebrated prediction of G. Parisi.

引用

页码：221 / 263

页数：43

共 22 条

[1]

AIZENMAN M, 2003, 0306386

[2] Broken replica symmetry bounds in the mean field spin glass model [J].

Guerra, F .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 233 (01) :1-12

[3] The thermodynamic limit in mean field spin glass models [J].

Guerra, F ;

Toninelli, FL .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 230 (01) :71-79

[4] Quadratic replica coupling in the Sherrington-Kirkpatrick mean field spin glass model [J].

Guerra, F ;

Toninelli, FL .

JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (07) :3704-3716

[5]

Guerra F., 2001, Fields Institute Communications, V30, P1, DOI 10.1090/fic/030/10

[6]

Mezard M., 1987, WORLD SCI LECT NOTES, V9

[7] Free energy in the generalized Sherrington-Kirkpatrick mean field model [J].

Panchenko, D .

REVIEWS IN MATHEMATICAL PHYSICS, 2005, 17 (07) :793-857

[8] A SEQUENCE OF APPROXIMATED SOLUTIONS TO THE S-K MODEL FOR SPIN-GLASSES [J].

PARISI, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (04) :L115-L121

[9]

PARISI G, 1992, WORLD SCI LECT NOTES, V45

[10]

Shcherbina M, 1997, HELV PHYS ACTA, V70, P838

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