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math.PR2019★ 1 cited
The Berry-Esseen Theorem for Circular -ensemble
Renjie Feng, Gang Tian, Dongyi Wei
We will prove the Berry-Esseen theorem for the number counting function of the circular -ensemble (CE), which will imply the central limit theorem for the number of points in…
math.PR2019
Small gaps of GOE
Renjie Feng, Gang Tian, Dongyi Wei
In this article, we study the smallest gaps of the Gaussian orthogonal ensemble. The main result is that the smallest gaps, after normalized by , will tend to a Poisson distribu…