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