On the distribution of the overlaps at given disorder

被引:8
作者
Parisi, G
Talagrand, M
机构
[1] Ist Nazl Fis Nucl, Ctr Stat Mech & Complex, I-00185 Rome, Italy
[2] Equipe Anal Inst Math, F-75230 Paris 05, France
关键词
D O I
10.1016/j.crma.2004.06.014
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a rigorous version of the following heuristic statement: if, in a spin glass model, the extended Ghirlanda-Guerra identities are valid, at given disorder the distribution of the overlap of two configurations is discrete, and its support (the smallest closed set that carries this distribution) is non-random.
引用
收藏
页码:303 / 306
页数:4
相关论文
共 7 条
[1]   General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity [J].
Ghirlanda, S ;
Guerra, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (46) :9149-9155
[2]  
Mezard M., 1987, SPIN GLASS THEORY
[3]  
PARISI G, 1980, J PHYS A, V13, P115
[4]  
PARISI G, 1992, WORLD SCI LECT NOTES, V45
[5]   Rigorous low-temperature results for the mean fields p-spins interaction model [J].
Talagrand, M .
PROBABILITY THEORY AND RELATED FIELDS, 2000, 117 (03) :303-360
[6]  
Talagrand M., 2003, Spin Glasses: A Challenge for Mathematicians-Cavity and Mean-Field Models
[7]  
TALAGRAND M, IN PRESS PROBAB THEO