Bulk universality for Wigner Hermitian matrices with subexponential decay

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Abstract

In this paper, we consider the ensemble of n×n Wigner Hermitian matrices H = (hℓk)1≤ℓ,k≤n that generalize the Gaussian unitary ensemble (GUE). The matrix elements hℓk = h̄ℓk are given by hℓk = n?1/2(xℓk + √?1yℓk), where xℓk, yℓk for 1 ≤ ℓ

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Erdos, L., Ramírez, J., Schlein, B., Tao, T., Van, V., & Yau, H. T. (2010). Bulk universality for Wigner Hermitian matrices with subexponential decay. Mathematical Research Letters, 17(4), 667–674. https://doi.org/10.4310/MRL.2010.v17.n4.a7

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