论文标题

正弦国内的决定因素,以两个大间隔

Sine-kernel determinant on two large intervals

论文作者

Fahs, Benjamin, Krasovsky, Igor

论文摘要

我们考虑了在随机矩阵的高斯单位合奏的整体缩放限制中,两个大差距(没有特征值的间隔)的概率。我们确定渐近学中的乘法常数。我们还为一个和两个大间隙之间的过渡提供了完整的显式渐近渐近造物(最多减少的项)。

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.

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