LIMIT-THEOREMS FOR THE EMPIRICAL VECTOR OF THE CURIE-WEISS-POTTS MODEL

被引：47
作者：
ELLIS, RS
WANG, KM
机构：
[1] Department of Mathematics and Statistics, University of Massachusetts, Amherst
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1990年 / 35卷 / 01期
基金：
美国国家科学基金会;
关键词：
central limit theorem; Curie-Weiss-Potts model; empirical vector; law of large numbers;
D O I：
10.1016/0304-4149(90)90122-9
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 law of large numbers and its breakdown, the central limit theorem, a central limit theorem with conditioning, and a central limit theorem with random centering are proved for the empirical vector of the Curie-Weiss-Potts model, which is a model in statistical mechanics. The nature of the limits reflects the phase transition in the model. © 1990.
引用
收藏
页码：59 / 79
页数：21
相关论文
共 12 条
  • [1] COMETS F, 1988, ASYMPTOTICS MAXIMUM
  • [2] ON LIMIT-THEOREMS FOR THE BIVARIATE (MAGNETIZATION, ENERGY) VARIABLE AT THE CRITICAL-POINT
    DECONINCK, J
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 109 (02) : 191 - 205
  • [3] SYMMETRY-BREAKING AND RANDOM WAVES FOR MAGNETIC SYSTEMS ON A CIRCLE
    EISELE, T
    ELLIS, RS
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1983, 63 (03): : 297 - 348
  • [4] Ellis R.S., 1985, ENTROPY LARGE DEVIAT
  • [5] LIMIT-THEOREMS FOR SUMS OF DEPENDENT RANDOM-VARIABLES OCCURRING IN STATISTICAL-MECHANICS .2. CONDITIONING, MULTIPLE PHASES, AND METASTABILITY
    ELLIS, RS
    NEWMAN, CM
    ROSEN, JS
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1980, 51 (02): : 153 - 169
  • [6] LIMIT-THEOREMS FOR SUMS OF DEPENDENT RANDOM-VARIABLES OCCURRING IN STATISTICAL-MECHANICS
    ELLIS, RS
    NEWMAN, CM
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1978, 44 (02): : 117 - 139
  • [7] ELLIS RS, 1989, LECTURE NOTES PHYS
  • [8] KESTEN H, 1990, REV MATH PHYS, V1
  • [9] Orey S., 1988, Stochastics, V25, P3, DOI 10.1080/17442508808833529
  • [10] POTTS-MODEL IN THE MANY-COMPONENT LIMIT
    PEARCE, PA
    GRIFFITHS, RB
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (06): : 2143 - 2148
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