The overlap distribution of the Sherrington-Kirkpatrick model on the Nishimori line has been proved to be self averaging for large volumes. Here we study the joint distribution of the rescaled overlaps around their common mean and prove that it converges to a Gaussian vector.

翻译：已证明Nishimori线上Sherrington-Kirkpatrick模型的重叠分布在大体积下具有自平均性。本文研究了重缩放重叠在其公共均值附近的联合分布，并证明其收敛于高斯向量。