Two Groups in a Curie-Weiss Model

Abstract

We show for two disjoint groups of spins in a Curie-Weiss model and a homogeneous coupling matrix that the law of large numbers holds for the normed sums of both groups' spin variables. We also show that the central limit theorem holds only for low inverse temperatures.

18 pages. Second version acknowledges similar results by other authors we had been unaware of and corrects some typos

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