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Critical Regime in a Curie-Weiss Model with two Groups and Heterogeneous Coupling. (arXiv:1807.05020v1 [math.PR])
来源于:arXiv
We discuss a Curie-Weiss model with two groups in the critical regime. This
is the region where the central limit theorem does not hold any more but the
mean magnetization still goes to zero as the number of spins grows. We show
that the total magnetization normalized by $N^{3/4}$ converges to a non-trivial
distribution which is not Gaussian, just as in the single-group Curie-Weiss
model. 查看全文>>