Two Groups in a Curie-Weiss Model

Published 22 Dec 2017 in math.PR | (1712.08477v2)

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.

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