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math.PR2018
Large gaps of CUE and GUE
Renjie Feng, Dongyi Wei
In this article, we study the largest gaps of the classical random matrices of CUE and GUE, and show that after rescaling, the limiting densities are given by the Gumbel distributi…
math.PR2018
Small gaps of circular -ensemble
Renjie Feng, Dongyi Wei
In this article, we study the smallest gaps of the log-gas -ensemble on the unit circle (CE), where is any positive integer. The main result is that the smallest gaps, af…