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arXiv · 1712.08477

Two Groups in a Curie-Weiss Model

Werner Kirsch·Gabor Toth
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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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Werner Kirsch, Gabor Toth. 2017-12-22. Two Groups in a Curie-Weiss Model. https://doi.org/10.1007/s11040-020-09343-5

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