The Curie-Weiss model-an approach using moments

被引：1
|
作者：
Kirsch, Werner [1 ]
机构：
[1] Fernuniv, Fak Math & Informat, Hagen, Germany
来源：
MUENSTER JOURNAL OF MATHEMATICS | 2020年 / 13卷 / 01期
关键词：
STATISTICAL-MECHANICS; LIMIT;
D O I：
10.17879/32109549631
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a law of large numbers and a central and a noncentral limit theorem for the Curie-Weiss model using the method of moments.
引用
收藏
页码：205 / 218
页数：14
相关论文
共 16 条
  • [1] Two Groups in a Curie-Weiss Model
    Kirsch, Werner
    Toth, Gabor
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2020, 23 (02)
  • [2] Two Groups in a Curie-Weiss Model with Heterogeneous Coupling
    Kirsch, Werner
    Toth, Gabor
    JOURNAL OF THEORETICAL PROBABILITY, 2020, 33 (04) : 2001 - 2026
  • [3] Dynamical moderate deviations for the Curie-Weiss model
    Collet, Francesca
    Kraaij, Richard C.
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2017, 127 (09) : 2900 - 2925
  • [4] MODERATE DEVIATIONS FOR A CURIE-WEISS MODEL WITH DYNAMICAL EXTERNAL FIELD
    Reichenbachs, Anselm
    ESAIM-PROBABILITY AND STATISTICS, 2013, 17 : 725 - 739
  • [5] Sharp asymptotics for metastability in the random field Curie-Weiss model
    Bianchi, Alessandra
    Bovier, Anton
    Ioffe, Dmitry
    ELECTRONIC JOURNAL OF PROBABILITY, 2009, 14 : 1541 - 1603
  • [6] Nonequivalence of ensembles in the Curie-Weiss anisotropic quantum Heisenberg model
    Kastner, Michael
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
  • [7] Limit Theorems for Multi-group Curie-Weiss Models via the Method of Moments
    Kirsch, Werner
    Toth, Gabor
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2022, 25 (04)
  • [8] Moderate Deviations for Random Field Curie-Weiss Models
    Loewe, Matthias
    Meiners, Raphael
    JOURNAL OF STATISTICAL PHYSICS, 2012, 149 (04) : 701 - 721
  • [9] Path-space moderate deviation principles for the random field Curie-Weiss model
    Collet, Francesca
    Kraaij, Richard C.
    ELECTRONIC JOURNAL OF PROBABILITY, 2018, 23
  • [10] The Effect of Sociodemographic Factors on Female Educational Attainment: An Application of the Multipopulation Curie-Weiss Model
    Ansah, Richard Kwame
    Tawiah, Kassim
    Asosega, Killian Asampana
    Kwofie, Charles
    Kumi, Williams
    Yalley, Edward
    JOURNAL OF APPLIED MATHEMATICS, 2024, 2024
12