论文标题
局部中央限制定理用于多组curie-weiss模型
Local Central Limit Theorem for Multi-Group Curie-Weiss Models
论文作者
论文摘要
我们定义了平均场旋转模型的多组版本，也称为Curie-Weiss模型。众所周知，在该模型的高温状态下，中心极限定理适合适当缩放组磁化的向量，即属于每组的旋转的总和。在本文中，我们证明了高温状态中组磁性的局部中央限制定理。
We define a multi-group version of the mean-field spin model, also called Curie-Weiss model. It is known that, in the high temperature regime of this model, a central limit theorem holds for the vector of suitably scaled group magnetisations, that is the sum of spins belonging to each group. In this article, we prove a local central limit theorem for the group magnetisations in the high temperature regime.
