We consider the probability of two large gaps (intervals without eigenvalues) in the bulk scaling limit of the Gaussian Unitary Ensemble of random matrices. We determine the multiplicative constant in the asymptotics. We also provide the full explicit asymptotics (up to decreasing terms) for the transition between one and two large gaps.

中文翻译：

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两个大区间上的正弦核行列式

我们考虑随机矩阵高斯酉系综的体积缩放极限中两个大间隙（没有特征值的区间）的概率。我们确定渐近方程中的乘法常数。我们还为一个和两个大间隙之间的过渡提供完整的显式渐近（直到递减项）。