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Limit-Theorems For The Empirical Vector Of The Curie-Weiss-Potts Model

RS Ellis, University of Massachusetts - Amherst
KM Wang

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The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V1B-45FKRHN-6&_user=1516330&_coverDate=06%2F30%2F1990&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_searchStrId=1699820979&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=d69920831ba906100b6e9f87e816b736&searchtype=a

Abstract

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.

Suggested Citation

RS Ellis and KM Wang. "Limit-Theorems For The Empirical Vector Of The Curie-Weiss-Potts Model" Stochastic Processes and Their Applications 35.1 (1990): 59-79.
Available at: http://works.bepress.com/richard_ellis/25



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