Limit Theorems for Multi-group Curie-Weiss Models via the Method of Moments

被引：2

作者：

Kirsch, Werner ^{[1
]}

Toth, Gabor ^{[2
]}

机构：

[1] Fernuniv, Hagen, Germany

[2] IIMAS UNAM, Mexico City, DF, Mexico

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2022年 / 25卷 / 04期

关键词：

Curie-Weiss model; Mean-field model; Limit theorem; Method of moments; STATISTICAL-MECHANICS; CHOICE;

D O I：

10.1007/s11040-022-09433-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a multi-group version of the mean-field or Curie-Weiss spin model. For this model, we show how, analogously to the classical (single-group) model, the three temperature regimes are defined. Then we use the method of moments to determine for each regime how the vector of the group magnetisations behaves asymptotically. Some possible applications to social or political sciences are discussed.

引用

页数：43

共 29 条

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